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math.FA2024
Regularity of Characteristic Functions in Besov-Type and Triebel--Lizorkin-Type Spaces
Wen Yuan, Winfried Sickel, Dachun Yang
In this article, the authors determine the optimal regularity of characteristic functions in Besov-type and Triebel--Lizorkin-type spaces under restrictions on the measure of the $…
math.AP2024★ 4 cited
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…
math.MG2024
New approach to affine Moser-Trudinger inequalities via Besov polar projection bodies
Oscar Dominguez, Yinqin Li, Sergey Tikhonov +2
We extend the affine inequalities on for Sobolev functions in with obtained recently by Haddad-Ludwig [16, 17] to the remaining range $p \…