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

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

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Changmin LiShanghai 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.

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

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    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
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Editor in Chief: László TÓTH (University of Pécs)

Honorary Editors in Chief:

  • † István GYŐRI (University of Pannonia, Veszprém)
  • János PINTZ (Rényi Institute of Mathematics)
  • Ferenc SCHIPP (Eötvös University Budapest and University of Pécs)
  • Sándor SZABÓ (University of Pécs)
     

Deputy Editors in Chief:

  • Erhard AICHINGER (JKU Linz)
  • Ferenc HARTUNG (University of Pannonia, Veszprém)
  • Ferenc WEISZ (Eötvös University, Budapest)

Editorial Board

  • György DÓSA (University of Pannonia, Veszprém)
  • István BERKES (Rényi Institute of Mathematics)
  • Károly BEZDEK (University of Calgary)
  • Balázs KIRÁLY – Managing Editor (University of Pécs)
  • Vedran KRCADINAC (University of Zagreb) 
  • Željka MILIN ŠIPUŠ (University of Zagreb)
  • Margit PAP (University of Pécs)
  • Mihály PITUK (University of Pannonia, Veszprém)
  • Jörg THUSWALDNER (Montanuniversität Leoben)
  • Zsolt TUZA (University of Pannonia, Veszprém)

Advisory Board

  • Szilárd RÉVÉSZ (Rényi Institute of Mathematics)  - Chair
  • Gabriella BÖHM (Akadémiai Kiadó, Budapest)
  • György GÁT (University of Debrecen)

University of Pécs,
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Department of Mathematics
7624 Pécs, Ifjúság útja 6., HUNGARY
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ltoth@gamma.ttk.pte.hu

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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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