Function Spaces with Dominating Mixed Smoothness

@inproceedings{Triebel2019FunctionSW,
  title={Function Spaces with Dominating Mixed Smoothness},
  author={Hans Triebel},
  year={2019}
}
Acknowledgements I would like to express my deepest appreciation to my supervisors Professor Hans-Jürgen Schmeisser and Professor Winfried Sickel for their support and many hints and comments. I thank also Professor Hans Triebel for many valuable discussions on the topic of this work. 
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This note is concerned with spaces of functions possessing dominating mixed smoothness properties. In particular, it includes the proof of a φ-transform result for those function spaces of
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The aim of this paper is to study the diagonal embeddings of function spaces with dominating mixed smoothness. From certain point of view, this paper may be considered as a direct continuation of [8]
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We study several techniques whichare well known in the case of Besov and TriebelLizorkin spaces and extend them to spaces with dominating mixed smoothness. We use the ideas of Triebel to prove three
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Preface Spaces of Entire Analytic Functions Spaces with Dominating Mixed Smoothness Properties Periodic Spaces Anisotropic Spaces Further Types of Function Spaces Abstract Spaces References Index.
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