Some Estimates of Bilinear Hausdorff Operators on Stratified Groups
DOI:
https://doi.org/10.4208/ata.OA-2019-0034Keywords:
Stratified group, Hausdorff operator, bilinear, sharp estimate, weighted Lebesgue space, Morrey space.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.
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2020-06-29
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Some Estimates of Bilinear Hausdorff Operators on Stratified Groups. (2020). Analysis in Theory and Applications, 36(2), 200-216. https://doi.org/10.4208/ata.OA-2019-0034
