On uniform boundedness of dyadic averaging operators in spaces of Hardy–Sobolev type

Author:

Garrigós G.,Seeger A.,Ullrich T.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference7 articles.

1. I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 61, Society for Industrial and Applied Mathematics (SIAM) (Philadelphia, PA, 1992).

2. G. Garrigós, A. Seeger and T. Ullrich, The Haar system as a Schauder basis in spaces of Hardy–Sobolev type, preprint, arXiv:1609.08225.

3. A. Seeger and T. Ullrich, Haar projection numbers and failure of unconditional convergence in Sobolev spaces, Math. Z., 285 (2017), 91–119.

4. A. Seeger and T. Ullrich, Lower bounds for Haar projections: Deterministic Examples, Constr. Approx., published online (2016), DOI: 10.1007/s00365-016-9353-3.

5. H. Triebel, Theory of Function Spaces, III, Monographs in Mathematics, vol. 100, Birkhäuser Verlag (Basel, 2006).

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1. Haar Frame Characterizations of Besov–Sobolev Spaces and Optimal Embeddings into Their Dyadic Counterparts;Journal of Fourier Analysis and Applications;2023-06

2. Basis Properties of the Haar System in Limiting Besov Spaces;Geometric Aspects of Harmonic Analysis;2021

3. The Haar system in Besov-type spaces;Studia Mathematica;2020

4. The Haar System as a Schauder Basis in Spaces of Hardy–Sobolev Type;Journal of Fourier Analysis and Applications;2017-12-01

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