Mathematica Pannonica
Volume/Issue:
Volume 28_NS2: Issue 2
A Marcinkiewicz Type Interpolation Theorem for Orlicz Spaces and Its Application
Authors:
Xiaoqiang Xie Department of Mathematics, College of Arts and Sciences, Shanghai Polytechnic University, Shanghai 201209, P. R. China

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,
Xi Fu Shanghai Polytechnic University, Shanghai 201209, P. R. China

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, and
Changmin Li Shanghai University, Shanghai, 200444, P. R. China

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Pages:
143–148
Online Publication Date:
19 Sep 2022
Publication Date:
29 Sep 2022
Article Category:
Research Article
DOI:
https://doi.org/10.1556/314.2022.00020
Keywords:
Orlicz space; interpolation; parabolic equation; divergence form
Open access

In this paper, we show a Marcinkiewicz type interpolation theorem for Orlicz spaces. As an application, we obtain an existence result for a parabolic equation in divergence form.

  • [1]

    ORLICZ, W. On a class of operations over the space of integrable functions. Studia Math. 14 (1954), 302–309.

  • [2]

    MALIGRANDA, L. Some remarks on Orlicz interpolation theorems. Studia Math. 95 (1989), 43–58.

  • [3]

    GUSTAVSSON, J., PEETRE, J. Interpolation of Orlicz spaces. Studia Math. 60 (1977), 33–59.

  • [4]

    SHESTAKOV, V. A. Transformations of Banch lattics and the interpolation of linear operators. Bull. Polish Sci. Math. 29 (1981), 569–577 (in Russion).

    • Search Google Scholar
    • Export Citation
  • [5]

    MALIGRANDA, L. Orlicz Spaces and Interpolation. Seminars in Mathematics 5, Univ. Estadual de Campinas, Campinas SP, Brazil 1989.

  • [6]

    REN, Y. Marcinkiewicz type interpolation theorems for weak Orlicz martingale spaces and application. Indagationes Mathematicae 26 (2015), 384–392.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [7]

    HARJULEHTO, P., HÄSTÖ, P. Orlicz Spaces and Generalized Orlicz Spaces. Lecture Notes in Mathmatics, 2019, Volume 2236, ISBN 978-3-030-15099-0.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [8]

    LIU, P. D., WANG, M. F. Weak Orlicz spaces: some basic properties and their applications to harmonic analysis. Sci. China Math. 56, 4 (2013), 789–802.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [9]

    BYUN, S. S. Optimal Y 1,p regularity theory for parabolic equations in divergence form. Journal of Evolution Equations 7, 3 (2007), 415–428.

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Cover Mathematica Pannonica
Mathematica Pannonica
Print ISSN:
0865-2090
Online ISSN:
2786-0752

Editor in Chief: László TÓTH, University of Pécs, Pécs, Hungary

Honorary Editors in Chief:

  • János PINTZ, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
  • † Ferenc SCHIPP, Eötvös Loránd University, Budapest, Hungary and University of Pécs, Pécs, Hungary
  • Sándor SZABÓ, University of Pécs, Pécs, Hungary
     

Deputy Editors in Chief:

  • Erhard AICHINGER, JKU Linz, Linz, Austria
  • Ferenc HARTUNG, University of Pannonia, Veszprém, Hungary
  • Ferenc WEISZ, Eötvös Loránd University, Budapest, Hungary

Editorial Board

  • Attila BÉRCZES, University of Debrecen, Debrecen, Hungary
  • István BERKES, Rényi Institute of Mathematics, Budapest, Hungary
  • Károly BEZDEK, University of Calgary, Calgary, Canada
  • György DÓSA, University of Pannonia, Veszprém, Hungary
  • Balázs KIRÁLY – Managing Editor, University of Pécs, Pécs, Hungary
  • Vedran KRCADINAC, University of Zagreb, Zagreb, Croatia 
  • Željka MILIN ŠIPUŠ, University of Zagreb, Zagreb, Croatia
  • Gábor NYUL, University of Debrecen, Debrecen, Hungary
  • Margit PAP, University of Pécs, Pécs, Hungary
  • István PINK, University of Debrecen, Debrecen, Hungary
  • Mihály PITUK, University of Pannonia, Veszprém, Hungary
  • Lukas SPIEGELHOFER, Montanuniversität Leoben, Leoben, Austria
  • Andrea ŠVOB, University of Rijeka, Rijeka, Croatia
  • Csaba SZÁNTÓ, Babeş-Bolyai University, Cluj-Napoca, Romania
  • Jörg THUSWALDNER, Montanuniversität Leoben, Leoben, Austria
  • Zsolt TUZA, University of Pannonia, Veszprém, Hungary

Advisory Board

  • Szilárd RÉVÉSZ – Chair, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
  • Gabriella BÖHM
  • György GÁT, University of Debrecen, Debrecen, Hungary

University of Pécs,
Faculty of Sciences,
Institute of Mathematics and Informatics
Department of Mathematics
7624 Pécs, Ifjúság útja 6., HUNGARY
(36) 72-503-600 / 4179
ltoth@gamma.ttk.pte.hu

  • Mathematical Reviews
  • Zentralblatt
  • DOAJ

Publication Model Gold Open Access
Online only
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Article Processing Charge 0 EUR/article (temporarily)
Subscription Information Gold Open Access

Mathematica Pannonica
Language English
Size A4
Year of
Foundation		 1990
Volumes
per Year		 1
Issues
per Year		 2
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 2786-0752 (Online)
ISSN 0865-2090 (Print)

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