Juha Kinnunen

Peer-reviewed scientific articles

Journal article-refereed, Original research

Oscillation estimates, self-improving results and good-λ inequalities

Berkovits, Lauri; Kinnunen, Juha; Martell, José María

2016 in JOURNAL OF FUNCTIONAL ANALYSIS (Academic Press Inc.)

ISSN: 0022-1236

Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces

Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu; Lehtelä, Pekka

2016 in ANALYSIS AND GEOMETRY IN METRIC SPACES (De Gruyter Open Ltd.)

ISSN: 2299-3274

Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy's inequalities

Kinnunen, Juha; Silvestre Albero, Pilar

2016 in DEMONSTRATIO MATHEMATICA (Politechnika Warszawska)

ISSN: 0420-1213

Perron's method for the porous medium equation

Kinnunen, Juha; Lukkari, Teemu; Lindqvist, Peter

2016 in JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY (European Mathematical Society Publishing House)

ISSN: 1435-9855

Unbounded supersolutions of some quasilinear parabolic equations: A dichotomy A dichotomy

Kinnunen, Juha; Lindqvist, Peter

2016 in NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS (PERGAMON-ELSEVIER SCIENCE LTD)

ISSN: 0362-546X

On weights satisfying parabolic Muckenhoupt conditions

Kinnunen, Juha; Saari, Olli

2016 in NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS (PERGAMON-ELSEVIER SCIENCE LTD)

ISSN: 0362-546X

Parabolic weighted norm inequalities and partial differential equations

Kinnunen, Juha; Saari, Olli

2016 in ANALYSIS AND PDE (Mathematical Sciences Publishers)

ISSN: 2157-5045

Regularity of minimizers of the area functional in metric spaces

Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu

2015 in ADVANCES IN CALCULUS OF VARIATIONS (Walter de Gruyter GmbH & Co. KG)

ISSN: 1864-8258

Regularity of the local fractional maximal function

Heikkinen, Toni; Kinnunen, Juha; Korvenpaa, Janne; Tuominen, Heli

2015 in ARKIV FOR MATEMATIK (Springer Netherlands)

ISSN: 0004-2080

Parabolic comparison principle and quasiminimizers in metric measure spaces

Kinnunen, Juha; Masson, Mathias

2015 in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (American Mathematical Society)

ISSN: 0002-9939

A characterization of BMO self-maps of a metric measure space

Kinnunen, Juha; Korte, Riikka; Marola, Niko; Shanmugalingam, Nageswari

2015 in COLLECTANEA MATHEMATICA (Springer-Verlag Italia)

ISSN: 0010-0757

Higher order Sobolev-type spaces on the real line

Bojarski, Bogdan; Kinnunen, Juha; Zürcher, Thomas

2014 in Journal of Function Spaces (Hindawi Publishing Corporation)

ISSN: 2314-8896

Stability of parabolic quasiminimizers

Fujishima, Yohei; Habermann, Jens; Kinnunen, Juha; Masson, Mathias

2014 in POTENTIAL ANALYSIS (Springer Netherlands)

ISSN: 0926-2601

Gehring's lemma and reverse Hölder classes on metric measure spaces

Kinnunen, Juha; Shukla, Parantap

2014 in COMPUTATIONAL METHODS IN FUNCTION THEORY (Springer Verlag)

ISSN: 1617-9447

The distance of L8 from BMO on metric measure spaces

Kinnunen, Juha; Shukla, Parantap

2014 in Advances in Pure and Applied Mathematics (Walter de Gruyter GmbH & Co. KG)

ISSN: 1867-1152

The structure of reverse Hölder classes on metric measure spaces

Kinnunen, Juha; Shukla, Parantap

2014 in NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS (PERGAMON-ELSEVIER SCIENCE LTD)

ISSN: 0362-546X

Pointwise properties of functions of bounded variation in metric spaces

Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli

2014 in REVISTA MATEMATICA COMPLUTENSE (Springer-Verlag Italia)

ISSN: 1139-1138

How to recognize polynomials in higher order Sopolev spaces

Bojarski, Bogdan; Ihnatsyeva, Lizaveta; Kinnunen, Juha

2013 in MATHEMATICA SCANDINAVICA (Mathematica Scandinavica)

ISSN: 0025-5521

Mapping properties of the discrete fractional maximal operator in metric measure spaces

Heikkinen, Toni; Kinnunen, Juha; Nuutinen, Juho; Tuominen, Heli

2013 in KYOTO JOURNAL OF MATHEMATICS (Mathematica Scandinavica)

ISSN: 2156-2261

Mapping properties of the discrete fractional maximal function in metric measure spaces

Heikkinen, Toni; Kinnunen, Juha; Nuutinen, Juho; Tuominen, Heli

2013 in KYOTO JOURNAL OF MATHEMATICS (Mathematica Scandinavica)

ISSN: 2156-2261

Local approximation of superharmonic and superparabolic functions in nonlinear potential theory

Kinnunen, Juha; Lukkari, Teemu; Parviainen, Mikko

2013 in JOURNAL OF FIXED POINT THEORY AND APPLICATIONS (Springer Science + Business Media)

ISSN: 1661-7738

Resistance conditions and applications

Kinnunen, Juha; Silvestre, Pilar

2013 in ANALYSIS AND GEOMETRY IN METRIC SPACES (De Gruyter Open Ltd.)

ISSN: 2299-3274

Nonlinear parabolic capacity and polar sets of superparabolic functions

Kinnunen, Juha; Korte, Riikka; Kuusi, Tuomo; Parviainen, Mikko

2013 in MATHEMATISCHE ANNALEN (Springer New York)

ISSN: 0025-5831

Regularity of sets with quasiminimal boundary surfaces in metric spaces

Kinnunen, Juha; Korte, Riikka; Lorent, Andrew; Shanmugalingam, Nageswari

2013 in JOURNAL OF GEOMETRIC ANALYSIS (Springer New York)

ISSN: 1050-6926

A characterization of Newtonian functions with zero boundary values

Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli

2012 in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (Springer New York)

ISSN: 0944-2669

Harnack´s inequality for parabolic De Giorgi classes in metric spaces

Kinnunen, Juha; Marola, Niko; Miranda, Michele; Paronetti, Fabio

2012 in ADVANCES IN DIFFERENTIAL EQUATIONS (Khayyam Publishing, Inc.)

ISSN: 1079-9389

Initial trace for a doubly nonlinear parabolic equation

Ishige, K.; Kinnunen, Juha

2011 in JOURNAL OF EVOLUTION EQUATIONS (Birkhauser Verlag Basel)

ISSN: 1424-3199

The discrete maximal operator in metric spaces

Aalto, Daniel; Kinnunen, Juha

2010 in JOURNAL D ANALYSE MATHEMATIQUE (Springer New York)

ISSN: 0021-7670

The BV-capacity in metric spaces

Hakkarainen, Heikki; Kinnunen, Juha

2010 in MANUSCRIPTA MATHEMATICA (Springer New York)

ISSN: 0025-2611

An existence result for superparabolic functions

Kinnunen, Juha; Lukkari, Teemu; Parviainen, Mikko

2010 in JOURNAL OF FUNCTIONAL ANALYSIS (Academic Press Inc.)

ISSN: 0022-1236

The De Giorgi measure and an obstacle problem related to minimal surfaces in metric spaces

Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli

2010 in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (Elsevier Masson SAS)

ISSN: 0021-7824

Hardy-Littlewood type gradient estimates for quasiminimizers

Kinnunen, Juha; Kotilainen, M.; Latvala, Visa

2010 in BOLLETINO DELLUNIONE MATEMATICA ITALIANA: ARTICOLI DI RICERCA MATEMATICA (Unione Matematica Italiana)

ISSN: 1972-6724

Stability for degenerate parabolic equations

Kinnunen, Juha; Parviainen, Mikko

2010 in ADVANCES IN CALCULUS OF VARIATIONS (Walter de Gruyter GmbH & Co. KG)

ISSN: 1864-8258

On Beckenbach-Rado type integral inequalitied

Ekonen, Markku; Kinnunen, Juha; Marola, Niko; Sbordone, Carlo

2009 in RICERCHE DI MATEMATICA (Springer-Verlag Italia)

ISSN: 0035-5038

Lebesgue points and capacities via the boxing inequality in metric spaces

Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli

2008 in INDIANA UNIVERSITY MATHEMATICS JOURNAL (Indiana University)

ISSN: 0022-2518

Characterizations of Sobolev inequalities on metric spaces

Kinnunen, Juha; Korte, Riikka

2008 in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (Academic Press Inc.)

ISSN: 0022-247X

Definition and properties of supersolutions to the porous medium equation

Kinnunen, Juha; Lindqvist, Peter

2008 in JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (WALTER DE GRUYTER GMBH)

ISSN: 0075-4102

Lebesgue points and capacities via boxing inequality in metric spaces

Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli

2008 in INDIANA UNIVERSITY MATHEMATICS JOURNAL (Indiana University)

Unbounded supersolutions of nonlinear equations with nonstandard growth

Harjulehto, Petteri; Kinnunen, Juha; Lukkari, Teemu

2007 in BOUNDARY VALUE PROBLEMS (Springer Publishing Company)

ISSN: 1687-2762

Hölder quasicontinuity in variable exponent sobolev spaces

Harjulehto, Petteri; Kinnunen, Juha; Tuhkanen, Katja

2007 in JOURNAL OF INEQUALITIES AND APPLICATIONS (Springer Publishing Company)

ISSN: 1025-5834

Hölder quasicontinuity in variable exponen Sobolev spaces

Harjulehto, Petteri; Kinnunen, Juha; Tuhkanen, Katja

2007 in Journal of Inequalities Applications (Springer Publishing Company)

Harnack's principle for quasiminimizers

Kinnunen, Juha; Marola, Niko; Martio, Olli

2007 in RICERCHE DI MATEMATICA (Springer-Verlag Italia)

ISSN: 0035-5038

Local behaviour of solutions to doubly nonlinear parabolic equations

Kinnunen, Juha; Kuusi, Tuomo

2007 in MATHEMATISCHE ANNALEN (Springer New York)

ISSN: 0025-5831

Pointwise behaviour of M^1,1 Sobolev functions

Kinnunen, Juha; Tuominen, Heli

2007 in MATHEMATISCHE ZEITSCHRIFT (SPRINGER HEIDELBERG)

ISSN: 0025-5874

Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation

Kinnunen, Juha; Lindqvist, Peter

2006 in ANNALI DI MATEMATICA PURA ED APPLICATA (Springer Verlag)

ISSN: 0373-3114

Polar sets on metric spaces

Kinnunen, Juha; Shanmugalingam, Nageswari

2006 in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (American Mathematical Society)

ISSN: 0002-9947

Summability of semicontinuous supersolutions to a quasilinear parabolic equation

Kinnunen, Juha; Lindqvist, Peter

2005 in ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE (Scuola Normale Superiore)

ISSN: 0391-173X

Differentiation bases for Sobolev functions on metric spaces

Harjulehto, Petteri; Kinnunen, Juha

2004 in PUBLICACIONS MATEMATIQUES (Universitat Autonoma de Barcelona, Seccio de Matematiques)

ISSN: 0214-1493

Sobolev space properties of superharmonic functions on metric spaces

Kinnunen, J.; Martio, O.

2003 in RESULTS IN MATHEMATICS (Birkhauser Verlag Basel)

ISSN: 1422-6383

Potential theory of quasiminimizers

Kinnunen, J.; Martio, O.

2003 in ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA (SUOMALAINEN TIEDEAKATEMIA)

ISSN: 1239-629X

Regularity of the fractional maximal function

Kinnunen, Juha; Saksman, Eero

2003 in BULLETIN OF THE LONDON MATHEMATICAL SOCIETY (Oxford University Press)

ISSN: 0024-6093

Nonlinear potential theory on metric spaces

Kinnunen, Juha; Martio, Olli

2002 in ILLINOIS JOURNAL OF MATHEMATICS (University of Illinois at Urbana-Champaign)

Lebesque points for Sobolev functions on metric spaces

Kinnunen, Juha; Latvala, Visa

2002 in REVISTA MATEMATICA IBEROAMERICANA (Universidad Autonoma de Madrid)

Very weak solutions of parabolic systems of p-Laplacian type

Kinnunen, Juha; Lewis, John L.

2002 in ARKIV FOR MATEMATIK (Springer Netherlands)

ISSN: 0004-2080

Regularity of quasi-minimizers on metric spaces

Kinnunen, Juha; Shanmugalingam, N.

2001 in MANUSCRIPTA MATHEMATICA (Springer New York)

ISSN: 0025-2611

A boundary estimate for nonlinear equations with discontinuous coefficients

Kinnunen, Juha; Zhou, S.

2001 in DIFFERENTIAL AND INTEGRAL EQUATIONS (Khayyam Publishing, Inc.)

Sobolev spaces with zero boundary values on metric spaces

Kilpeläinen, T.; Kinnunen, J.; Martio, O.

2000 in POTENTIAL ANALYSIS (Springer Netherlands)

ISSN: 0926-2601

Higher integrability for parabolic systems of p-Laplacian type

Kinnunen, J.; Lewis, J.L.

2000 in DUKE MATHEMATICAL JOURNAL (Duke University Press)

A local estimate for nonlinear equations with discontinuous coefficients

Kinnunen, Juha; Zhou, Shulin

1999 in Communications in Partial Differential Equations (Taylor and Francis Ltd.)

ISSN: 0360-5302

Sharp inequalities for maximal functions associated with general measures

Grafakos, L.; Kinnunen, J.

1998 in PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A: MATHEMATICS (Cambridge University Press)

ISSN: 0308-2105

Hölder quasicontinuity of Sobolev functions on metric spaces

Hajłasz, Piotr; Kinnunen, Juha

1998 in REVISTA MATEMATICA IBEROAMERICANA (Universidad Autonoma de Madrid)

ISSN: 0213-2230

The derivative of the maximal function

Kinnunen, Juha; Lindqvist, Peter

1998 in JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (WALTER DE GRUYTER GMBH)

ISSN: 0075-4102

Hardy's inequalities for Sobolev functions

Kinnunen, Juha; Martio, Olli

1997 in MATHEMATICAL RESEARCH LETTERS (International Press of Boston, Inc.)

ISSN: 1073-2780

The Hardy-Littlewood maximal function of a Sobolev function

Kinnunen, Juha

1997 in ISRAEL JOURNAL OF MATHEMATICS (Springer New York)

ISSN: 0021-2172

The Sobolev capacity on metric spaces

Kinnunen, Juha; Martio, Olli

1996 in ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA (SUOMALAINEN TIEDEAKATEMIA)

ISSN: 1239-629X

HIGHER INTEGRABILITY WITH WEIGHTS

Kinnunen, Juha

1994 in ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA (SUOMALAINEN TIEDEAKATEMIA)

ISSN: 0066-1953

Book section, Chapters in research books

Characterizations for the Hardy inequality

Kinnunen, Juha; Korte, Riikka

2010 in International Mathematical Series (SPRINGER)

ISBN: 978-1-4419-1340-1

ISSN: 1571-5485

Maximal functions in Sobolev spaces

Aalto, Daniel; Kinnunen, J.

2008 in International Mathematical Series (SPRINGER)

ISBN: 978-0-387-85647-6

ISSN: 1571-5485

Conference proceedings

On the definition and properties of superparabolic functions

Kinnunen, J.

2008

Minimal, maximal and reverse Hölder inequalities

Kinnunen, Juha

2001

Maximal operator and superharmonicity

Kinnunen, J.; Martio, O.

2000

Publications intended for professional communities

Article in professional journal

Lebesgue points for Sobolev functions on metric spaces

Kinnunen, Juha; Latvala, Visa

2002 in REVISTA MATEMATICA IBEROAMERICANA (Universidad Autonoma de Madrid)

Published development or research report

Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation

Kinnunen, J.; Lindqvist, P.

2003

Sobolev space properties of superharmonic functions on metric spaces

Kinnunen, Juha; Martio, Olli

2002

Polar sets on metric spaces

Kinnunen, Juha; Shanmugalingam, Nageswari

2002