Tohoku Mathematical Journal
2017
September
SECOND SERIES VOL. 69, NO. 3

Tohoku Math. J.
69 (2017), 383-413

Title ATOMIC DECOMPOSITIONS OF WEIGHTED HARDY SPACES WITH VARIABLE EXPONENTS

Author Kwok-Pun Ho

(Received May 28, 2015, revised July 3, 2015)
Abstract. We establish the atomic decompositions for the weighted Hardy spaces with variable exponents. These atomic decompositions also reveal some intrinsic structures of atomic decomposition for Hardy type spaces.

Mathematics Subject Classification. Primary 42B30; Secondary 42B25, 42B35, 46E30.
Key words and phrases. Atomic decomposition, weight, Hardy spaces, Littlewood-Paley theory, maximal functions, variable exponent analysis, vector-valued maximal inequalities.

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