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arXiv:1903.06937 [math.CA]AbstractReferencesReviewsResources

Besov-ish spaces through atomic decomposition

Daniel Smania

Published 2019-03-16Version 1

We use the method of atomic decomposition to build new families of function spaces, similar to Besov spaces, in measure spaces with grids, a very mild assumption. Besov spaces with low regularity are considered in measure spaces with good grids, and results on multipliers and left compositions are obtained.

Comments: 55 pages, 3 figures
Categories: math.CA, math.AP, math.DS, math.FA
Subjects: 37C30, 30H25, 42B35, 42C15, 42C40
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