6 citations · 20 across the 17 of their papers we have counts for
15 papers · 1 filter
Classical inequalities for all Fourier matrix coefficients of and their applications
Vishvesh Kumar, Tapendu Rana, Michael Ruzhansky
In this article, we establish three fundamental Fourier inequalities: the Hausdorff-Young inequality, the Paley inequality, and the Hausdorff-Young-Paley inequality for -ty…
Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order
Manoj Kumar, Vishvesh Kumar, Michael Ruzhansky
A classical theorem of Titchmarsh relates the -Lipschitz functions and decay of the Fourier transform of the functions. In this note, we prove the Titchmarsh theorem for Damek…
- Multipliers on commutative hypergroups
Vishvesh Kumar, Michael Ruzhansky
The main purpose of this paper is to prove Hörmander's - boundedness of Fourier multipliers on commutative hypergroups. We carry out this objective by establishing Paley…
Titchmarsh theorems, Hausdorff-Young-Paley inequality and - boundedness of Fourier multipliers on harmonic groups
Vishvesh Kumar, Michael Ruzhansky
In this paper we extend classical Titchmarsh theorems on the Fourier transform of Hlder-Lipschitz functions to the setting of harmonic groups, which relate sm…
Convolution Properties of Orlicz Spaces on hypergroups
A. R. Bagheri Salec, Vishvesh Kumar, S. M. Tabatabaie
In this paper, for a locally compact commutative hypergroup and for a pair of Young functions satisfying sequence condition, we give a necessary condition in terms…
- boundedness of -Fourier multipliers with applications to Nonlinear equations
Vishvesh Kumar, Michael Ruzhansky
The -generalised Fourier transform is the unitary operator defined using the -deformed Dunkl harmonic oscillator.The main aim of this paper is to prove - bounde…