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On maximal functions generated by Fourier multipliers

- H. Dappa, W. Trebels
- Mathematics
- 1 December 1985

38 6

Limiting reiteration for real interpolation with slowly varying functions

- Amiran Gogatishvili, B. Opic, W. Trebels
- Mathematics
- 2005

We present reiteration formulae with limiting values θ = 0 and θ = 1 for a real interpolation method involving slowly varying functions. Applications to the Lorentz–Karamata spaces, the Fourier… Expand

71 5

Radial Fourier multipliers of L(R).

- A. Carbery, G. Gasper, W. Trebels
- Mathematics, Medicine
- Proceedings of the National Academy of Sciences…
- 1 May 1984

We give sufficient conditions (in terms of differentiability and growth properties) for a radial function to be an L(p)(R(2)) Fourier multiplier. These conditions are in the nature of best possible.

26 4

Inequalities for moduli of smoothness versus embeddings of function spaces

- W. Trebels
- Mathematics
- 12 January 2010

The so-called sharp Marchaud inequality and some converse of it, as well as the Ulyanov and Kolyada inequalities are equivalent to some embeddings between Besov and potential spaces. Peetre’s… Expand

21 2

A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers

- G. Gasper, W. Trebels
- Mathematics
- 1979

34 2

On weighted transplantation and multipliers for Laguerre expansions

- K. Stempak, W. Trebels
- Mathematics
- 8 July 1993

Using the standard square--function method (based on the Poisson semigroup), multiplier conditions of H\"ormander type are derived for Laguerre expansions in $L^p$--spaces with power weights in the… Expand

23 2- PDF

Multipliers for (C,α)-bounded Fourier expansions in Banach spaces and approximation theory

- W. Trebels
- Mathematics
- 1973

General theory.- Multiplier criteria for (C,?)-bounded expansions.- Particular summation methods.- Applications to particular expansions.

63 1

Fractional integration for Laguerre expansions

- G. Gasper, K. Stempak, W. Trebels
- Mathematics
- 31 August 1994

The aim of this note is to provide a fractional integration theorem in the framework of Laguerre expansions. The method of proof consists of establishing an asymptotic estimate for the involved… Expand

25 1- PDF

Low regularity classes and entropy numbers

- A. Seeger, W. Trebels
- Mathematics
- 2 March 2007

Abstract.We note a sharp embedding of the Besov space $$B^{\infty}_{0,q}({\mathbb{T}})$$ into exponential classes and prove entropy estimates for the compact embedding of subclasses with logarithmic… Expand

11 1- PDF

Embeddings for spaces of Lorentz–Sobolev type

- A. Seeger, W. Trebels
- Mathematics
- 31 January 2018

The purpose of this paper is to characterize all embeddings for versions of Besov and Triebel–Lizorkin spaces where the underlying Lebesgue space metric is replaced by a Lorentz space metric. We… Expand

13 1- PDF

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