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Weighted boundedness for Toeplitz type operators related to Riesz transforms of the Schrödinger operator
-
Chuangxia Huang
,
Lanzhe Liu
Published/Copyright:
May 15, 2013
Abstract.
This paper addresses the issue of sharp maximal function estimates of Toeplitz type operators. As an application, the boundedness of the operator on weighted Lebesgue and Triebel–Lizorkin spaces is established.
Keywords: Toeplitz operator; Riesz transform; Schrödinger operator; sharp maximal function; Triebel–Lizorkin space; weighted Lipschitz function
Received: 2010-10-17
Revised: 2012-10-20
Accepted: 2013-04-15
Published Online: 2013-05-15
Published in Print: 2013-05-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Toeplitz operator;
Riesz transform;
Schrödinger operator;
sharp maximal function;
Triebel–Lizorkin space;
weighted Lipschitz function
Articles in the same Issue
- Masthead
- Fixed points of asymptotically regular mappings in complex-valued metric spaces
- Coverings of internal groupoids and crossed modules in the category of groups with operations
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- On precompact sets in spaces Cc(X)
- Weighted boundedness for Toeplitz type operators related to Riesz transforms of the Schrödinger operator
- Sums of absolutely nonmeasurable functions
- Symmetry of an integral equation with Bessel potential in ℝn+
- Spanier spaces and the covering theory of non-homotopically path Hausdorff spaces
- On the maximal operator of Marcinkiewicz–Fejér means of the two-dimensional Walsh–Kaczmarz system
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- Initial problems for hyperbolic functional differential systems
- Approximation by complex q-Bernstein–Schurer operators in compact disks
- On some properties of conjugate trigonometric Fourier series
