23 citations · 27 across the 18 of their papers we have counts for
4 papers · 1 filter
Some properties of block-radial functions and Schrödinger type operators with block-radial potentials
Alicja Dota, Leszek Skrzypczak
Let $ R_γB^{s}_{p,q}(\Rd)$ be a subspace of the Besov space $B^{s}_{p,q}(\Rd)$ that consists of block-radial functions. We prove that the asymptotic behaviour of the entropy number…
Morrey Sequence Spaces: Pitt's Theorem and compact embeddings
Dorothee D. Haroske, Leszek Skrzypczak
Morrey (function) spaces and, in particular, smoothness spaces of Besov-Morrey or Triebel-Lizorkin-Morrey type enjoyed a lot of interest recently. Here we turn our attention to Mor…
Defect of compactness for Sobolev spaces on manifolds with bounded geometry
Leszek Skrzypczak, Cyril Tintarev
Defect of compactness, relative to an embedding of two Banach spaces E and F, is a difference between a weakly convergent sequence in E and its weak limit taken up to a remainder t…
On defect of compactness for Sobolev spaces on manifolds
Leszek Skrzypczak, Cyril Tintarev
Defect of compactness, relative to an embedding of two Banach spaces E and F, is a difference between a weakly convergent sequence in E and its weak limit taken up to a remainder t…