WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

Autor:	B. Laadjal, K. Saibi, O. Melkemi, Z. Mokhtari
Jazyk:	English<br />Russian
Rok vydání:	2022
Předmět:	weighted hardy spaces variable exponent daviesgaffney estimates molecular decomposition maximal function dual space Mathematics QA1-939
Zdroj:	Проблемы анализа, Vol 11 (29), Iss 3, Pp 66-90 (2022)
Druh dokumentu:	article
ISSN:	2306-3424 2306-3432
DOI:	10.15393/j3.art.2022.11130
Popis:	We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization of 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) and we show that the new weighted variable bounded mean oscillation-type space 𝐵𝑀𝑂(^𝑝(·),𝑀 _𝐿*,𝑤) represents the dual space of 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛), where 𝐿* denotes the adjoint operator of 𝐿 on 𝐿^2(ℝ^𝑛).
Databáze:	Directory of Open Access Journals
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