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arXiv · 2304.09558

Pseudo-differential calculi and entropy estimates with Orlicz modulation spaces

Anupam Gumber·Nimit Rana·Joachim Toft·Rüya Üster
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Abstract

We deduce continuity properties for pseudo-differential operators with symbols in Orlicz modulation spaces when acting on other Orlicz modulation spaces. In particular we extend well-known results in the literature. We also show that the entropy functional is continuous on a suitable Orlicz modulation space between $M^p$ and $M^2$ when $p<2$, though the functional is discontinuous on $M^2=L^2$.

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Anupam Gumber, Nimit Rana, Joachim Toft, Rüya Üster. 2023-04-19. Pseudo-differential calculi and entropy estimates with Orlicz modulation spaces. https://arxiv.org/abs/2304.09558

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