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math.AP2026
Sobolev--Morrey Spaces and Divergence-Form Degenerate Second-Order Elliptic Equations on Domains with Higher Co-Dimensional Boundaries
Weiyi Kong, Yoshihiro Sawano, Dachun Yang +2
In this article, we study the weighted homogeneous Sobolev--Morrey spaces on domains in with higher co-dimensional boundaries. Precisely, we systematically establish…
math.AP2026
One-Sided and Parabolic BLO Spaces with Time Lag and Their Applications to Muckenhoupt Weights and Doubly Nonlinear Parabolic Equations
Weiyi Kong, Dachun Yang, Wen Yuan
In this article, we first introduce the one-sided BLO space and characterize it, respectively, in terms of the one-sided Muckenhoupt class $A_1^+(\math…
math.AP2024
Parabolic Muckenhoupt Weights Characterized by Parabolic Fractional Maximal and Integral Operators with Time Lag
Weiyi Kong, Dachun Yang, Wen Yuan +1
In this article, motivated by the regularity theory of the solutions of doubly nonlinear parabolic partial differential equations the authors introduce the off-diagonal two-weight…