Xiong Liu

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math.CA2025

Estimates for Schrödinger Groups and Imaginary Power Operators on Weak Hardy Spaces Associated with Non-negative Self-adjoint Operators and Ball Quasi-Banach Function Spaces

Xiong Liu, Wenhua Wang

Let $(X, d, μ)$ be a doubling metric measure space, $L$ a non-negative self-adjoint operator on $L^{2} (X)$ satisfying the Davies-Gaffney estimate, and $X (X)$ …

math.CA2024

Real-variable Theory of Anisotropic Musielak-Orlicz-Lorentz Hardy Spaces with Applications to Calderón-Zygmund Operators

Xiong Liu, Wenhua Wang

Let $φ : R^{n} \times [0, \infty) \to [0, \infty)$ be a Musielak-Orlicz function satisfying the uniformly anisotropic Muckenhoupt condition and be of uniformly lower type…