76 citations · 343 across the 42 of their papers we have counts for
6 papers · 1 filter
On uniform boundedness of dyadic averaging operators in spaces of Hardy-Sobolev type
Gustavo Garrigós, Andreas Seeger, Tino Ullrich
We give an alternative proof of recent results by the authors on uniform boundedness of dyadic averaging operators in (quasi-)Banach spaces of Hardy-Sobolev and Triebel-Lizorkin ty…
The Haar system as a Schauder basis in spaces of Hardy-Sobolev type
Gustavo Garrigós, Andreas Seeger, Tino Ullrich
We show that, for suitable enumerations, the multivariate Haar system is a Schauder basis in the classical Sobolev spaces on with integrability and smoot…
On the orthogonality of the Chebyshev-Frolov lattice and applications
Christopher Kacwin, Jens Oettershagen, Tino Ullrich
We deal with lattices that are generated by the Vandermonde matrices associated to the roots of Chebyshev-polynomials. If the dimension of the lattice is a power of two, i.e. $…
On orders of approximation functions of generalized smoothness in Lorentz spaces
G. Akishev
This paper considers the Lorentz space with mixed norm of periodic functions of many variables and of the generalized Nikol'skii -- Besov classes. Estimates for the order of approx…
Optimal sampling recovery of mixed order Sobolev embeddings via discrete Littlewood-Paley type characterizations
Glenn Byrenheid, Tino Ullrich
In this paper we consider the -approximation of multivariate periodic functions with -bounded mixed derivative (difference). The (possibly non-linear) reconstruction…
Hyperbolic Cross Approximation
Dinh Dũng, Vladimir N. Temlyakov, Tino Ullrich
Hyperbolic cross approximation is a special type of multivariate approximation. Recently, driven by applications in engineering, biology, medicine and other areas of science new ch…