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arXiv · 2201.00327

Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions

Adam Nowak·Luz Roncal·Tomasz Z. Szarek
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Abstract

We find sharp conditions for the maximal operator associated with generalized spherical mean Radon transform on radial functions $M^{\a,\b}_t$ to be bounded on power weighted Lebesgue spaces. Moreover, we also obtain the corresponding endpoint results in terms of optimal power weighted weak and restricted weak type estimates.

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Adam Nowak, Luz Roncal, Tomasz Z. Szarek. 2022-01-02. Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions. https://doi.org/10.3934/cpaa.2023065

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