These notes deal with spaces Sr p, q A (Rn) of Besov–Sobolev type with dominating mixed smoothness, where A∈{B, F}, r∈ R, 0< p≤∞, 0< q≤∞, and their counterparts Sr p, q A [Ω,] …
The monograph Beyond Sobolev and Besov grew out of the habilitation thesis of the author written in 2019. In view of the substantial material, decision was taken to collect the obtained …
J Liu, DD Haroske, D Yang - Journal of Mathematical Analysis and …, 2019 - Elsevier
Let φ: R n×[0,∞)→[0,∞) be an anisotropic growth function and A a general expansive matrix on R n. Let HA φ (R n) be the anisotropic Musielak–Orlicz Hardy space associated with A …
We provide non-smooth atomic decompositions for Besov spaces Bp, qs (Rn), s> 0, 0< p, q⩽∞, defined via differences. The results are used to compute the trace of Besov spaces on …
C Schneider - Beyond Sobolev and Besov: Regularity of Solutions of …, 2021 - Springer
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