Projects per year
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 language | English |
---|---|
Article number | 48 |
Pages (from-to) | 1-47 |
Number of pages | 47 |
Journal | Journal of Fourier Analysis and Applications |
Volume | 29 |
Issue number | 4 |
DOIs | |
Publication status | Published - 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
Fingerprint
Dive into the research topics of 'New atomic decomposition for Besov type space B˙01,1 associated with Schrödinger type operators'. Together they form a unique fingerprint.Projects
- 1 Active
-
DP22: Harmonic analysis of Laplacians in curved spaces
Li, J., Bui, T., Duong, X., Cowling, M., Ottazzi, A. & Wick, B.
26/04/22 → 25/04/25
Project: Research