Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators

Abstract

We introduce the variable integral and the smooth exponent Besov spaces associated to non-negative self-adjoint operators. Then we give the equivalent norms via the Peetre type maximal functions and atomic decomposition of these spaces.

Keywords

Besov space / variable exponent / maximal function / non-negative self-adjoint operators / atomic decomposition

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