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Besov-ish spaces through atomic decomposition

Published 16 Mar 2019 in math.CA, math.AP, math.DS, and math.FA | (1903.06937v2)

Abstract: 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.

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