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arXiv · 2411.04084

Mapping properties of the Schr\"odinger maximal function on Damek--Ricci spaces

Utsav Dewan·Swagato K. Ray
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Abstract

For $f \in \mathscr{S}^2(\mathcal S)_{o}$, the collection of radial $L^2$-Schwartz class functions on Damek--Ricci spaces $\mathcal S$, we consider the Schr\"odinger maximal function, \begin{equation*} S^* f(x):= \displaystyle\sup_{0 1/2, \end{equation*} holds true.

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Utsav Dewan, Swagato K. Ray. 2024-11-06. Mapping properties of the Schr\"odinger maximal function on Damek--Ricci spaces. https://arxiv.org/abs/2411.04084

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