Quantitative estimates for square functions with new class of weights
type: Item
instance of: scholarly article
title: Quantitative estimates for square functions with new class of weights
author: The Quan Bui
author: Xuan Thinh Duong
author: Bui The Anh
published in: Potential Analysis
publication date: 2022-11-23T00:00:00Z
review text: The main aim of this paper is to prove several quantitative weighted estimates for square functions associated with operators satisfying certain upper bounds corresponding to a new class of weights related to critical functions. The paper is based on the operator \(L\), which is a nonnegative self-adjoint operator on \(L^2(X)\), where \(X\) is a metric space with a doubling measure. Examples of the operator \(L\) which satisfies Theorem 1.2 (the main result of the paper) include: Laguerre operators on \(\left(\mathbb{R}^n, \prod_{i=1}^n x_i^{\alpha_i} d x_i\right)\) with \(\alpha_i>-1\) for each \(i\) and Schrödinger operators on noncompact Riemannian manifolds.
reviewed by: Pierluigi Vellucci
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 7622260
zbMATH Keywords: critical function
zbMATH Keywords: quatitative weighted estimate
zbMATH Keywords: square function
zbMATH Keywords: heat kernel
MaRDI profile type: Publication
full work available at URL: s11118-021-09927-y
OpenAlex ID: W3168531648
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DOI: 10.1007/S11118-021-09927-Y
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description: scientific article; zbMATH DE number 7622260