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- W2772039364 abstract "In this paper, we first introduce some new kinds of weighted amalgam spaces. Then we deal with the vector-valued intrinsic square functions, which were introduced recently by Wilson. In his fundamental work, Wilson established strong-type and weak-type estimates for vector-valued intrinsic square functions on weighted Lebesgue spaces. The goal of this paper is to extend his results to these weighted amalgam spaces. Moreover, we define vector-valued analogues of commutators with $$mathrm {BMO}({mathbb {R}}^n)$$ functions, and obtain the mapping properties of vector-valued commutators on the weighted amalgam spaces as well. In the endpoint case, we also establish the weighted weak $$Llog L$$ -type estimates for vector-valued commutators in the setting of weighted Lebesgue spaces." @default.
- W2772039364 created "2017-12-22" @default.
- W2772039364 creator A5069249287 @default.
- W2772039364 date "2022-07-01" @default.
- W2772039364 modified "2023-10-16" @default.
- W2772039364 title "Estimates for vector-valued intrinsic square functions and their commutators on certain weighted amalgam spaces" @default.
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- W2772039364 doi "https://doi.org/10.1007/s43036-022-00206-0" @default.
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