Volume 53, Issue 3
Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents

Jinling Cai, Baohua Dong & Canqin Tang

J. Math. Study, 53 (2020), pp. 297-315.

Published online: 2020-05

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  • Abstract

We establish the boundedness of rough singular integral operators on homogeneous Herz spaces with variable exponents. As an application, we obtain the boundedness of related commutators with BMO functions on homogeneous Herz spaces with variable exponents.

  • AMS Subject Headings

42B20, 42B35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

1875815902@qq.com (Jinling Cai)

baohuadong@nuist.edu.cn (Baohua Dong)

tangcq2000@dlmu.edu.cn (Canqin Tang)

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@Article{JMS-53-297, author = {Cai , JinlingDong , Baohua and Tang , Canqin}, title = {Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents}, journal = {Journal of Mathematical Study}, year = {2020}, volume = {53}, number = {3}, pages = {297--315}, abstract = {

We establish the boundedness of rough singular integral operators on homogeneous Herz spaces with variable exponents. As an application, we obtain the boundedness of related commutators with BMO functions on homogeneous Herz spaces with variable exponents.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v53n3.20.04}, url = {http://global-sci.org/intro/article_detail/jms/16921.html} }
TY - JOUR T1 - Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents AU - Cai , Jinling AU - Dong , Baohua AU - Tang , Canqin JO - Journal of Mathematical Study VL - 3 SP - 297 EP - 315 PY - 2020 DA - 2020/05 SN - 53 DO - http://doi.org/10.4208/jms.v53n3.20.04 UR - https://global-sci.org/intro/article_detail/jms/16921.html KW - Rough singular integral operator, commutator, Herz spaces with variable exponents, BMO spaces. AB -

We establish the boundedness of rough singular integral operators on homogeneous Herz spaces with variable exponents. As an application, we obtain the boundedness of related commutators with BMO functions on homogeneous Herz spaces with variable exponents.

Cai , JinlingDong , Baohua and Tang , Canqin. (2020). Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents. Journal of Mathematical Study. 53 (3). 297-315. doi:10.4208/jms.v53n3.20.04
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