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Volume 41, Issue 3
Weighted Boundedness of Toeplitz Type Operator Associated to General Singular Integral Operator Satisfying a Variant of Hörmander’s Condition

Lanzhe Liu & Xiaoqi Zhou

DOI: 10.4208/ata.OA-2024-0020

Anal. Theory Appl., 41 (2025), pp. 284-298.

Published online: 2025-09

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  • Abstract

In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the general singular integral operator satisfying a variant of Hörmander's condition. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

  • Keywords

Toeplitz type operator, singular integral operator, sharp maximal function, weighted BMO,weighted Lipschitz function.

  • AMS Subject Headings

42B20, 42B25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-41-284, author = {Liu , Lanzhe and Zhou , Xiaoqi}, title = {Weighted Boundedness of Toeplitz Type Operator Associated to General Singular Integral Operator Satisfying a Variant of Hörmander’s Condition}, journal = {Analysis in Theory and Applications}, year = {2025}, volume = {41}, number = {3}, pages = {284--298}, abstract = {

In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the general singular integral operator satisfying a variant of Hörmander's condition. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2024-0020}, url = {http://global-sci.org/intro/article_detail/ata/24487.html} }
TY - JOUR T1 - Weighted Boundedness of Toeplitz Type Operator Associated to General Singular Integral Operator Satisfying a Variant of Hörmander’s Condition AU - Liu , Lanzhe AU - Zhou , Xiaoqi JO - Analysis in Theory and Applications VL - 3 SP - 284 EP - 298 PY - 2025 DA - 2025/09 SN - 41 DO - http://doi.org/10.4208/ata.OA-2024-0020 UR - https://global-sci.org/intro/article_detail/ata/24487.html KW - Toeplitz type operator, singular integral operator, sharp maximal function, weighted BMO,weighted Lipschitz function. AB -

In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the general singular integral operator satisfying a variant of Hörmander's condition. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

Liu , Lanzhe and Zhou , Xiaoqi. (2025). Weighted Boundedness of Toeplitz Type Operator Associated to General Singular Integral Operator Satisfying a Variant of Hörmander’s Condition. Analysis in Theory and Applications. 41 (3). 284-298. doi:10.4208/ata.OA-2024-0020
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