New atomic decomposition for Besov type space B˙01,1 associated with Schrödinger type operators

The Anh Bui*, Xuan Thinh Duong

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
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Abstract

Let (X, d, μ) be a space of homogeneous type. Let L be a nonnegative self-adjoint operator on L2(X) satisfying certain conditions on the heat kernel estimates which are motivated from the heat kernel of the Schrödinger operator on Rn . The main aim of this paper is to prove a new atomic decomposition for the Besov space B˙1,10,L(X) associated with the operator L. As a consequence, we prove the boundedness of the Riesz transform associated with L on the Besov space B˙1,10,L(X) .

Original languageEnglish
Article number48
Pages (from-to)1-47
Number of pages47
JournalJournal of Fourier Analysis and Applications
Volume29
Issue number4
DOIs
Publication statusPublished - Aug 2023

Bibliographical note

Copyright © The Author(s) 2023. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

Keywords

  • Atomic decomposition
  • Besov space B˙01,1
  • Heat semigroup
  • Riesz transform

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