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Volume 38, Issue 1
Sublinear Operators with Rough Kernel on Herz Spaces with Variable Exponents

Yu Shu, Liwei Wang & Dan Xiao

Anal. Theory Appl., 38 (2022), pp. 79-91.

Published online: 2021-12

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  • Abstract

We prove some boundedness results for a large class of sublinear operators with rough kernel on the homogeneous Herz spaces where the three main indices are variable exponents. Some known results are extended.

  • Keywords

Herz space, variable exponent, sublinear operator.

  • AMS Subject Headings

42B35, 46E30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-38-79, author = {Yu Shu , Liwei Wang , and Dan Xiao , }, title = {Sublinear Operators with Rough Kernel on Herz Spaces with Variable Exponents}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {38}, number = {1}, pages = {79--91}, abstract = {

We prove some boundedness results for a large class of sublinear operators with rough kernel on the homogeneous Herz spaces where the three main indices are variable exponents. Some known results are extended.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2020-0013}, url = {http://global-sci.org/intro/article_detail/ata/20012.html} }
TY - JOUR T1 - Sublinear Operators with Rough Kernel on Herz Spaces with Variable Exponents AU - Yu Shu , AU - Liwei Wang , AU - Dan Xiao , JO - Analysis in Theory and Applications VL - 1 SP - 79 EP - 91 PY - 2021 DA - 2021/12 SN - 38 DO - http://doi.org/10.4208/ata.OA-2020-0013 UR - https://global-sci.org/intro/article_detail/ata/20012.html KW - Herz space, variable exponent, sublinear operator. AB -

We prove some boundedness results for a large class of sublinear operators with rough kernel on the homogeneous Herz spaces where the three main indices are variable exponents. Some known results are extended.

Yu Shu, Liwei Wang & Dan Xiao. (1970). Sublinear Operators with Rough Kernel on Herz Spaces with Variable Exponents. Analysis in Theory and Applications. 38 (1). 79-91. doi:10.4208/ata.OA-2020-0013
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