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arXiv · 1601.05042

Strong continuity on Hardy spaces

Jacek Dziubański·Błażej Wróbel
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Abstract

We prove the strong continuity of spectral multiplier operators associated with dilations of certain functions on the general Hardy space $H^1_L$ introduced by Hofmann, Lu, Mitrea, Mitrea, Yan. Our results include the heat and Poisson semigroups as well as the group of imaginary powers.

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Jacek Dziubański, Błażej Wróbel. 2016-01-19. Strong continuity on Hardy spaces. https://arxiv.org/abs/1601.05042

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