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Sobolev‐Jawerth embedding of Triebel‐Lizorkin‐Morrey‐Lorentz spaces and fractional integral operator on Hardy type spaces
Author(s) -
Ho KwokPun
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300217
Subject(s) - mathematics , lorentz transformation , embedding , hardy space , sobolev space , pure mathematics , interpolation space , type (biology) , mathematical analysis , operator (biology) , lorentz space , functional analysis , physics , ecology , biochemistry , chemistry , classical mechanics , repressor , artificial intelligence , biology , computer science , transcription factor , gene
A Sobolev type embedding for Triebel‐Lizorkin‐Morrey‐Lorentz spaces is established in this paper. As an application of this result, the boundedness of the fractional integral operator on some generalizations of Hardy spaces such as Hardy‐Morrey spaces and Hardy‐Lorentz spaces are obtained.