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Hardy Spaces and Beurling Algebras
Author(s) -
GarcíaCuerva José
Publication year - 1989
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-39.3.499
Subject(s) - hardy space , pure mathematics , mathematics , algebra over a field
We extend the results of Chen and Lau [2] in two directions. First we work on R n whereas the setting of [2] is the real line. Secondly we obtain atomic decompositions for the whole range 1 < p < ∞, going beyond the decomposition obtained in [2], which was only valid for 1 < p ⩽ 2. Our method is simpler than that used in [2] and is based upon a different principle: the characterization by the ‘grand maximal function’.