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math.FA2016★ 22 cited
Characterisation by Local Means of Anisotropic Lizorkin--Triebel Spaces with Mixed Norms
Jon Johnsen, Sabrina Munch Hansen, Winfried Sickel
This is a contribution to the theory of Lizorkin--Triebel spaces having mixed Lebesgue norms and quasi-homogeneous smoothness. We discuss their characterisation in terms of general…
math.FA2016
Pointwise Multipliers for Sobolev and Besov Spaces of Dominating Mixed Smoothness
Van Kien Nguyen, Winfried Sickel
Under certain restrictions we describe the set of all pointwise multipliers in case of Sobolev and Besov spaces of dominating mixed smoothness. In addition we shall give necessary…
math.FA2014★ 3 cited
Weyl Numbers of Embeddings of Tensor Product Besov Spaces
Van Kien Nguyen, Winfried Sickel
In this paper we investigate the asymptotic behaviour of Weyl numbers of embeddings of tensor product Besov spaces into Lebesgue spaces. These results will be compared with the kno…