partially supported by the German Research Foundation(DFG)(Grant No.Ha 2794/8-1);supported by the China Scholarship Council(CSC)(Grant No.202006350058);partially supported by the Center for Mathematics of the University of Coimbra(funded by the Portuguese Government through FCT/MCTES,DOI 10.54499/UIDB/00324/2020)。
We study embeddings between generalised Triebel–Lizorkin–Morrey spacesε_(ϕ,p,q)^(s)(R^(d))and within the scales of further generalised Morrey smoothness spaces like N_(ϕ,p,q)^(s)(R^(d)),B_(p,q)^(s,ϕ)(R^(d))and F_(p...
Supported by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research(Grant No.323960);ISF(Grant No.1149/18)。
We establish a pointwise property for homogeneous fractional Sobolev spaces in domains with non-empty boundary,extending a similar result of Koskela–Yang–Zhou.We use this to show that a conformal map from the unit d...
supported by the National Natural Science Foundation of China(Nos.12371204,12371100,12071054);the Key Project of National Natural Science Foundation of China(No.12131010);the National Support Program for Young Top-Notch Talents and Dalian High-level Talent Innovation Project(No.2020RD09).
Note that some classic fluid dynamical systems such as the Navier-Stokes equations, Magnetohydrodynamics (MHD for short), Boussinesq equations and etc., are observably different from each other but obey some energy in...
In this article, we deal with weak solutions to non-degenerate sub-elliptic equations in the Heisenberg group, and study the regularities of solutions. We establish horizontal Calderón-Zygmund type estimate in Besov ...
supported by the National Natural Science Foundation of China(Grant No.12161022).
In this paper we obtain the boundedness of non-regular pseudo-differential operators with symbols in Besov spaces on matrix-weighted Besov-Triebel-Lizorkin spaces.These symbols include the classical Hörmander classes.
supported by the National Natural Science Foundation of China(11901495);Hunan Provincial NSF Project(2019JJ50573);the Scientific Research Fund of Hunan Provincial Education Department(22B0155)。
In this paper,using inhomogeneous Calderon’s reproducing formulas and the space of test functions associated with a para-accretive function,the inhomogeneous Besov and TriebelLizorkin spaces are established.As applic...