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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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.