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Littlewood–Paley Theory and Function Spaces with A loc p Weights
Author(s) -
Rychkov Vyacheslav S.
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(200104)224:1<145::aid-mana145>3.0.co;2-2
Subject(s) - mathematics , pure mathematics , function space , function (biology) , biology , evolutionary biology
Characterizations via convolutions with smooth compactly supported kernels and other distinguished properties of the weighted Besov–Lipschitz and Triebel–Lizorkin spaces on ℝ n with weights that are locally in A p but may grow or decrease exponentially at infinity are investigated. Square–function characterizations of the weighted L p and Hardy spaces with the above class of weights are also obtained. A certain local variant of the Calderón reproducing formula is constructed and widely used in the proofs.