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Izvestiya: Mathematics, 2018, Volume 82, Issue 6, Pages 1225–1238
DOI: https://doi.org/10.1070/IM8511 (Mi im8511) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Boundedness of Toeplitz operators related to singular integral operators

Ya. Tan, L. Liu

Changsha University of Science and Technology
English version PDF (272 kB) Citations (9)
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DOI: https://doi.org/10.1070/IM8511
Abstract: We establish that Toeplitz-type operators related to singular integral operators with variable Calderón–Zygmund kernels are bounded on weighted Morrey spaces. To do this, we prove weighted inequalities for the sharp maximal functions of such operators.
Keywords: Toeplitz-type operator, singular integral operator, sharp maximal function, Morrey space, weighted $\mathrm{BMO}$, weighted Lipschitz function.
Received: 24.01.2016
Revised: 15.05.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 6, Pages 158–171
DOI: https://doi.org/10.4213/im8511
Bibliographic databases:
Document Type: Article
UDC: 517.518
MSC: 42B20, 42B25
Language: English
Original paper language: Russian
Citation: Ya. Tan, L. Liu, “Boundedness of Toeplitz operators related to singular integral operators”, Izv. RAN. Ser. Mat., 82:6 (2018), 158–171; Izv. Math., 82:6 (2018), 1225–1238
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM8511
  • https://www.mathnet.ru/eng/im/v82/i6/p158
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:257
    Russian version PDF:25
    English version PDF:5
    References:39
    First page:19
     
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