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- W4302597217 abstract "We explore the connection between $p$-regular operators on Banach function spaces and weighted $p$-estimates. In particular, our results focus on the following problem. Given finite measure spaces $mu$ and $nu$, let $T$ be an operator defined from a Banach function space $X(nu)$ and taking values on $L^p (v d mu)$ for $v$ in certain family of weights $Vsubset L^1(mu)_+$: we analyze the existence of a bounded family of weights $Wsubset L^1(nu)_+$ such that for every $vin V$ there is $w in W$ in such a way that $T:L^p(w d nu) to L^p(v d mu)$ is continuous uniformly on $V$. A condition for the existence of such a family is given in terms of $p$-regularity of the integration map associated to a certain vector measure induced by the operator $T$." @default.
- W4302597217 created "2022-10-06" @default.
- W4302597217 creator A5059955897 @default.
- W4302597217 creator A5082419362 @default.
- W4302597217 date "2018-03-28" @default.
- W4302597217 modified "2023-10-17" @default.
- W4302597217 title "$p$-regularity and weights for operators between $L^p$-spaces" @default.
- W4302597217 doi "https://doi.org/10.48550/arxiv.1803.10652" @default.
- W4302597217 hasPublicationYear "2018" @default.
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