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- W4200335364 abstract "In this article, appropriate sharp Lp bounds for a certain class of rough maximal operators MΩ,γ with mixed homogeneity are established. Specifically, when the function Ω belongs to Lq(Sm-1×Sn-1) with m,n≥2 and q>1 , the boundedness of the such operators is obtained. Further, the extrapolation argument employed in [1] is applied on these gotten bounds to obtain the Lp boundedness of the aforementioned operators whenever the kernels are in the space L(logL)2γ'(Sm-1×Sn-1) or in the block space Bq(0,2γ'-1)(Sm-1×Sn-1) with 1<γ≤2 and q>1 . Our obtained results are considered substantial extensions and improvements of what was known previously." @default.
- W4200335364 created "2021-12-31" @default.
- W4200335364 creator A5022675360 @default.
- W4200335364 date "2021-12-01" @default.
- W4200335364 modified "2023-09-29" @default.
- W4200335364 title "On the boundedness of parabolic maximal operators on product domains" @default.
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- W4200335364 doi "https://doi.org/10.1016/j.heliyon.2021.e08626" @default.
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