# 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.

## 24 Citations

Pointwise multipliers for Besov spaces of dominating mixed smoothness - II

- Mathematics
- 2017

We continue our investigations on pointwise multipliers for Besov spaces of dominating mixed smoothness. This time we study the algebra property of the classes Sp,qrB(ℝd) with respect to pointwise…

Rate-optimal sparse approximation of compact break-of-scale embeddings

- Mathematics, Computer ScienceArXiv
- 2022

Hyperbolic wavelets are used to introduce corresponding new spaces of Besov- and Triebel-Lizorkin-type to particularly cover the energy norm approximation of functions with dominating mixed smoothness.

Adaptive sampling recovery of functions with higher mixed regularity

- MathematicsArXiv
- 2020

The Faber spline system from [14] is tensorized to prove sequence space isomorphisms for multivariate function spaces with higher mixed regularity and the solution of Problem 3.13 in the Triebel monograph is presented.

Sample paths of white noise in spaces with dominating mixed smoothness

- Mathematics
- 2020

The sample paths of white noise are proved to be elements of certain Besov spaces with dominating mixed smoothness. Unlike in isotropic spaces, here the regularity does not get worse with increasing…

Approximation of functions with small mixed smoothness in the uniform norm

- MathematicsJ. Approx. Theory
- 2022

Gelfand numbers related to structured sparsity and Besov space embeddings with small mixed smoothness

- MathematicsJ. Complex.
- 2018

Turing patterns, Lengyel–Epstein systems and Faber splines

- Computer ScienceBanach Center Publications
- 2019

This paper deals with the Lengyel–Epstein CIMA (chlorite-iodide-malonic acid) system of non-linear parabolic equations in the context of function spaces, especially of HölderZygmund type. We discuss…

Sampling discretization error of integral norms for function classes

- Computer Science, MathematicsJ. Complex.
- 2019

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