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Traces of some weighted function spaces and related non-standard real interpolation of Besov spaces
Blanca F. Besoy, Dorothee D. Haroske, Hans Triebel
We study traces of weighted Triebel-Lizorkin spaces on hyperplanes , where the weight is of Muckenhoupt type. We concentrate on the…
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…
Optimal Calderón Spaces for generalized Bessel potentials
Elza Bakhtigareeva, Mikhail L. Goldman, Dorothee D. Haroske
In the paper we investigate the properties of spaces with generalized smoothness, such as Calderón spaces that include the classical Nikolskii-Besov spaces and many of their genera…
Growth envelopes of some variable and mixed function spaces
Dorothee D. Haroske, Cornelia Schneider, Kristóf Szarvas
We study unboundedness properties of functions belonging Lebesgue and Lorentz spaces with variable and mixed norms using growth envelopes. Our results extend the ones for the corre…
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…