33 citations · 48 across the 19 of their papers we have counts for
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Isotropic and Dominating Mixed Lizorkin - Triebel Spaces - a Comparison
Van Kien Nguyen, Winfried Sickel
We shall compare isotropic Lizorkin-Triebel spaces with their counterparts of dominating mixed smoothness.
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…
Gelfand Numbers of Embeddings of Mixed Besov Spaces
Van Kien Nguyen
Gelfand numbers represent a measure for the information complexity which is given by the number of information needed to approximate functions in a subset of a normed space with an…
Isotropic and Dominating Mixed Besov Spaces - a Comparison
Van Kien Nguyen, Winfried Sickel
We compare Besov spaces with isotropic smoothness with Besov spaces of dominating mixed smoothness. Necessary and sufficient conditions for continuous embeddings will be given.