Volume 36, Issue 2
Some Estimates of Bilinear Hausdorff Operators on Stratified Groups

Qi Zhang & Jiman Zhao

Anal. Theory Appl., 36 (2020), pp. 200-216.

Published online: 2020-06

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  • Abstract

In this paper, we give four kinds of sharp estimates of two variants of bilinear Hausdorff operators on stratified groups, involving weighted Lebesgue spaces, classical Morrey spaces and central Morrey spaces. Meanwhile, some necessary and sufficient conditions of boundness are obtained.

  • Keywords

Stratified group, Hausdorff operator, bilinear, sharp estimate, weighted Lebesgue space, Morrey space.

  • AMS Subject Headings

42B35, 43A80, 47H60, 47A30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-36-200, author = {Zhang , Qi and Zhao , Jiman}, title = {Some Estimates of Bilinear Hausdorff Operators on Stratified Groups}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {36}, number = {2}, pages = {200--216}, abstract = {

In this paper, we give four kinds of sharp estimates of two variants of bilinear Hausdorff operators on stratified groups, involving weighted Lebesgue spaces, classical Morrey spaces and central Morrey spaces. Meanwhile, some necessary and sufficient conditions of boundness are obtained.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2019-0034}, url = {http://global-sci.org/intro/article_detail/ata/17130.html} }
TY - JOUR T1 - Some Estimates of Bilinear Hausdorff Operators on Stratified Groups AU - Zhang , Qi AU - Zhao , Jiman JO - Analysis in Theory and Applications VL - 2 SP - 200 EP - 216 PY - 2020 DA - 2020/06 SN - 36 DO - http://doi.org/10.4208/ata.OA-2019-0034 UR - https://global-sci.org/intro/article_detail/ata/17130.html KW - Stratified group, Hausdorff operator, bilinear, sharp estimate, weighted Lebesgue space, Morrey space. AB -

In this paper, we give four kinds of sharp estimates of two variants of bilinear Hausdorff operators on stratified groups, involving weighted Lebesgue spaces, classical Morrey spaces and central Morrey spaces. Meanwhile, some necessary and sufficient conditions of boundness are obtained.

Qi Zhang & Jiman Zhao. (2020). Some Estimates of Bilinear Hausdorff Operators on Stratified Groups. Analysis in Theory and Applications. 36 (2). 200-216. doi:10.4208/ata.OA-2019-0034
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