The paper constructs approximations of the identity and establishes sharp real-variable characterizations, duality, and operator boundedness for Hardy-Lorentz spaces on ultra-RD-spaces.
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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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Real-Variable Theory of Hardy--Lorentz Spaces on Quasi-Ultrametric Spaces of Homogeneous Type with Reverse-Doubling Property
The paper constructs approximations of the identity and establishes sharp real-variable characterizations, duality, and operator boundedness for Hardy-Lorentz spaces on ultra-RD-spaces.
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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.