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Calderón – Zygmund Operators on Weighted Weak Hardy Spaces in Locally Compact Vilenkin Groups
Author(s) -
Quek Tong Seng,
Yang Dachun
Publication year - 2001
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 - 10.1002/1522-2616(200105)225:1<123::aid-mana123>3.0.co;2-g
Subject(s) - mathematics , hardy space , locally compact space , lp space , pure mathematics , locally compact group , bounded function , space (punctuation) , type (biology) , standard probability space , interpolation space , mathematical analysis , banach space , functional analysis , ecology , linguistics , philosophy , biochemistry , chemistry , gene , biology
Let G be a bounded locally compact Vilenkin group. We study the atomic decom‐position of weighted weak Hardy space. We also define several Calderón – Zygmund type operators and study their boundedness on, spaces like weighted Hardy spaces, weighted weak Hardy spaces and weighted weak Lebesgue spaces. Sharpness of some of our results is also discussed.