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arXiv · 1701.02289

Lusin area integrals related to Jacobi expansions

Tomasz Z. Szarek
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Abstract

We investigate mixed Lusin area integrals associated with Jacobi trigonometric polynomial expansions. We prove that these operators can be viewed as vector-valued Calderón-Zygmund operators in the sense of the associated space of homogeneous type. Consequently, their various mapping properties, in particular on weighted $L^p$ spaces, follow from the general theory.

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Tomasz Z. Szarek. 2017-01-09. Lusin area integrals related to Jacobi expansions. https://doi.org/10.1007/s00605-018-1241-4

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