Introduces matrix-weighted variable Hardy space H^{p(·)}_W and derives its atomic characterization using convex-body maximal functions and Whitney decomposition, with applications to dual spaces and boundedness of Calderón-Zygmund operators.
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Atomic Characterization and Its Applications of Matrix-Weighted Variable Hardy Spaces
Introduces matrix-weighted variable Hardy space H^{p(·)}_W and derives its atomic characterization using convex-body maximal functions and Whitney decomposition, with applications to dual spaces and boundedness of Calderón-Zygmund operators.