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math.CA2026
Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix Weights
Fan Bu, Shuaijun Feng, Qingying Xue +2
Let , , and . In this article, we develop a theory of matrix-weighted anisotropic Besov spaces associated with an expansive matrix $…
math.CA2026
Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces
Pingxu Hu, Yinqin Li, Dachun Yang +1
We establish two pointwise estimates for fractional difference operators, tracking explicitly the dependence of the constants on the smoothness index . Using these, with…