3 documents found, page 1 of 1
Wavelet decomposition and embeddings of generalised Besov–Morrey spaces
Haroske, Dorothee D.; Moura, Susana D.; Skrzypczak, LeszekWe study embeddings between generalised Besov–Morrey spaces Nφ,p,qs(Rd). Both sufficient and necessary conditions for the embeddings are proved. Embeddings of the Besov–Morrey spaces into the Lebesgue spaces Lr(Rd) are also considered. Our approach requires a wavelet characterisation of the spaces which we establish for the system of Daubechies wavelets. © 2021 The Author(s); The first and last author were part...
Continuity envelopes and sharp embeddings in spaces of generalized smoothness
Haroske, Dorothee D.; Moura, Susana D.We study continuity envelopes in spaces of generalized smoothness and . The results are applied in proving sharp embedding assertions in some limiting situations.; http://www.sciencedirect.com/science/article/B6WJJ-4RR86XB-2/1/6bcac204b3b58952d7b524c4599cb512
Continuity envelopes of spaces of generalised smoothness, entropy and approxima...
Haroske, Dorothee D.; Moura, Susana D.We study continuity envelopes in spaces of generalised smoothness Bpq(s,[Psi]) and Fpq(s,[Psi]) and give some new characterisations for spaces Bpq(s,[Psi]). The results are applied to obtain sharp asymptotic estimates for approximation numbers of compact embeddings of type id:Bpq(s1,[Psi])(U)-->B[infinity][infinity]s2(U), where and U stands for the unit ball in . In case of entropy numbers we can prove two-side...