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

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 n...

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Bibliographic Details
Main Authors: B. Laadjal, K. Saibi, O. Melkemi, Z. Mokhtari
Format: Article
Language:English
Published: Petrozavodsk State University 2022-09-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11130&lang=ru