23 citations · 27 across the 18 of their papers we have counts for
25 papers
Compact embeddings of generalised Morrey smoothness spaces on bounded domains
Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak
We study embeddings within different scales of generalised smoothness Morrey spaces defined on bounded smooth domains, i.e., in , $\mathcal{E}^s_{φ,p,q}(Ω…
Generalised Morrey sequence spaces
Dorothee D. Haroske, Leszek Skrzypczak
Generalised Morrey (function) spaces enjoyed some interest recently and found applications to PDE. Here we turn our attention to their discrete counterparts. We define generalised…
Embeddings of block-radial functions -- approximation properties and nuclearity
Alicja Dota, Leszek Skrzypczak
Let be a subspace of the Besov space that consists of block-radial (multi-radial) functions. We study an asymptotic behav…
Embeddings of generalised Morrey smoothness spaces
Dorothee D. Haroske, Zhen Liu, Susana D. Moura +1
We study embeddings between generalised Triebel-Lizorkin-Morrey spaces and within the scales of further generalised Morrey smoothness spac…
Mapping properties of Fourier transforms, revisited
Dorothee D. Haroske, Leszek Skrzypczak, Hans Triebel
The paper deals with continuous and compact mappings generated by the Fourier transform between distinguished Besov spaces , $1\le p…
On a bridge connecting Lebesgue and Morrey spaces in view of their growth properties
Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak
We study unboundedness properties of functions belonging to generalised Morrey spaces and generalised Besov-Morrey spaces ${\mathcal N}^{s}_{φ,p…
Nuclear and compact embeddings in function spaces of generalised smoothness
Dorothee D. Haroske, Hans-Gerd Leopold, Susana D. Moura +1
We study nuclear embeddings for function spaces of generalised smoothness defined on a bounded Lipschitz domain . This covers, in particular, the well-known s…
Nuclear embeddings of Morrey sequence spaces and smoothness Morrey spaces
Dorothee D. Haroske, Leszek Skrzypczak
We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smoothness spaces of functions defined on a bounded domain …
Nuclear Fourier transforms
Dorothee D. Haroske, Leszek Skrzypczak, Hans Triebel
The paper deals with the problem under which conditions for the parameters , the Fourier transform is a nuclear mapp…
Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
Helena F. Goncalves, Dorothee D. Haroske, Leszek Skrzypczak
In this paper, we study limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces, and $id_τ: F_{p_1,…
Wavelet decomposition and embeddings of generalised Besov-Morrey spaces
Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak
We study embeddings between generalised Besov-Morrey spaces. Both sufficient and necessary conditions for the embeddings are proved. Embeddings of the Besov-Morrey spaces into the…
Nuclear embeddings in general vector-valued sequence spaces with an application to Sobolev embeddings of function spaces on quasi-bounded domains
Dorothee D. Haroske, Hans-Gerd Leopold, Leszek Skrzypczak
We study nuclear embeddings for spaces of Besov and Triebel-Lizorkin type defined on quasi-bounded domains . The counterpart for such function spaces define…
On compact subsets of Sobolev spaces on manifolds
Leszek Skrzypczak, Cyril Tintarev
It is common that a Sobolev space defined on has a non-compact embedding into an -space, but it has subspaces for which this embedding becomes compact. There ar…
Nuclear embeddings in weighted function spaces
Dorothee D. Haroske, Leszek Skrzypczak
We study nuclear embeddings for weighted spaces of Besov and Triebel-Lizorkin type where the weight belongs to some Muckenhoupt class and is essentially of polynomial type. Here we…
Compact embeddings in Besov-type and Triebel-Lizorkin-type Spaces on bounded domains
Helena F. Gonçalves, Dorothee D. Haroske, Leszek Skrzypczak
We study embeddings of Besov-type and Triebel-Lizorkin-type spaces, and $id_τ: {F}_{p_1,q_1}^{s_1,τ_1}…
Some embeddings of Morrey spaces with critical smoothness
Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak
We study embeddings of Besov-Morrey spaces ${\cal N}^{s}_{u,p,q}}({\mathbb R}^d)$ and of Triebel-Lizorkin-Morrey spaces ${\cal E}^{s}_{u,p,q}}({\mathbb R}^d)$ in the limiting cases…
Entropy numbers of compact embeddings of Smoothness Morrey spaces on bounded domains
Dorothee D. Haroske, Leszek Skrzypczak
We study the compact embedding between smoothness Morrey spaces on bounded domains and characterise its entropy numbers. Here we discover a new phenomenon when the difference of sm…
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…
On Caffarelli-Kohn-Nirenberg inequalities for block-radial functions
Cyril Tintarev, Leszek Skrzypczak
The paper provides weighted Sobolev inequalities of the Caffarelli-Kohn-Nirenberg type for functions with multi-radial symmetry. Similarly to the previously studied radial case, th…
The Characterization of Radial Subspaces of Besov- and Lizorkin-Triebel Spaces by Differences
Winfried Sickel, Leszek Skrzypczak, Jan Vybiral
We continue our earlier investigations of radial subspaces of Besov and Lizorkin-Triebel spaces on . This time we study characterizations of these subspaces by differences.
Complex Interpolation of Weighted Besov- and Lizorkin-Triebel Spaces (long version)
Winfried Sickel, Leszek Skrzypczak, Jan Vybiral
We study complex interpolation of weighted Besov and Lizorkin-Triebel spaces. The used weights are local Muckenhoupt weights in the sense of Rychkov. As a first step we c…