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Weighted Triebel‐Lizorkin Spaces on Locally Compact Vilenkin Groups
Author(s) -
Kitada Toshiyuki,
Onneweer C. W.
Publication year - 1994
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.19941680112
Subject(s) - mathematics , pure mathematics , locally compact space , pseudodifferential operators , locally compact group , decomposition , ecology , biology
Let G be a locally compact Vilenkin group. We consider the atomic and molecular decomposition of the weighted Triebel‐Lizorkin spaces on G. As an application of it we prove boundedness results for certain pseudodifferential operators on such spaces.