Variable Besov–Morrey Spaces Associated with Operators

Khedoudj Saibi ()
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Khedoudj Saibi: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2023, vol. 11, issue 9, 1-22

Abstract: Let ( X , d , μ ) be a space of homogenous type and L be a non-negative self-adjoint operator on L 2 ( X ) with heat kernels satisfying Gaussian upper bounds. In this paper, we introduce the variable Besov–Morrey space associated with the operator L and prove that this space can be characterized via the Peetre maximal functions. Then, we establish its atomic decomposition.

Keywords: variable exponents; Besov–Morrey spaces; metric measure; heat kernel; maximal characterization; atomic characterizations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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