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math.CA2018
New Characterizations of Musielak-Orlicz-Sobolev Spaces via Sharp Ball Averaging Functions
Sibei Yang, Dachun Yang, Wen Yuan
In this article, the authors establish a new characterization of the Musielak--Orlicz--Sobolev space on , which includes the classical Orlicz--Sobolev space, the weig…
math.CA2018
Atomic and Maximal Function Characterizations of Musielak-Orlicz-Hardy Spaces Associated to Non-negative Self-adjoint Operators on Spaces of Homogeneous Type
Sibei Yang, Dachun Yang
Let be a metric space with doubling measure and a non-negative self-adjoint operator on whose heat kernels satisfy the Gaussian upper bound est…
math.AP2018
estimate for the gradient in
Duchao Liu, Beibei Wang, Sibei Yang
Under appropriate assumptions on the -fucntion, the estimate for the gradient of the minimizers of a class of energy functional in Musielak-Orlicz-Sobolev…