57 citations · 140 across the 14 of their papers we have counts for
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Mixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian Manifolds
Liguang Liu, Yuhua Sun, Suqing Wu
Let and be the product of two geodesically complete Riemannian manifolds. In this paper, the authors first develop an anisotropic potential…
A Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type
Ziyi He, Yongsheng Han, Ji Li +3
Let be a space of homogeneous type, with the upper dimension , in the sense of R. R. Coifman and G. Weiss. Assume that is the smoothness index of the wavelets on $…
New Calderón Reproducing Formulae with Exponential Decay on Spaces of Homogeneous Type
Ziyi He, Liguang Liu, Dachun Yang +1
Assume that is a space of homogeneous type in the sense of Coifman and Weiss. In this article, motivated by the breakthrough work of P. Auscher and T. Hytönen on orthon…
Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces
Jun Cao, Liguang Liu, Dachun Yang +1
For any , let be the Musielak-Orlicz Hardy space associated with the Musielak-Orlicz growth function , defined by setting, for any $x\in\m…
Functional Calculus on BMO-type Spaces of Bourgain, Brezis and Mironescu
Liguang Liu, Dachun Yang, Wen Yuan
A nonlinear superposition operator related to a Borel measurable function is defined via for any complex-valued function $…
On the global Gaussian Lipschitz space
Liguang Liu, Peter Sjögren
A Lipschitz space is defined in the Ornstein-Uhlenbeck setting, by means of a bound for the gradient of the Ornstein-Uhlenbeck Poisson integral. This space is then characterized wi…