Strong continuity on Hardy spaces
classification
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keywords
continuityhardymitreastrongassociatedcertaindilationsfunctions
read the original 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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