6 citations · 12 across the 8 of their papers we have counts for
11 papers
Hardy-Littlewood inequality and - Fourier multipliers on compact hypergroups
Vishvesh Kumar, Michael Ruzhansky
This paper deals with the inequalities devoted to the comparison between the norm of a function on a compact hypergroup and the norm of its Fourier coefficients. We prove the class…
- boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations
Duván Cardona Sánchez, Vishvesh Kumar, Michael Ruzhansky +1
In this paper we study the boundedness of global pseudo-differential operators on smooth manifolds. By using the notion of global symbol we extend a classical condition of Hörmande…
A note on -functional, Modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spaces
Vishvesh Kumar, Michael Ruzhansky
In this paper we study approximation theorems for -space on Damek-Ricci spaces. We prove direct Jackson theorem of approximations for the modulus of smoothness defined using s…
Hypercyclic Sequences of weighted translations on hypergroups
Vishvesh Kumar, Seyyed Mohammad Tabatabaie
In this paper, we characterize hypercyclic sequences of weighted translation operators on an Orlicz space in the context of locally compact hypergroups.
Schatten Class and nuclear pseudo-differential operators on homogeneous spaces of compact groups
Vishvesh Kumar, Shyam Swarup Mondal
Given a compact (Hausdorff) group and a closed subgroup of in this paper we present symbolic criteria for pseudo-differential operators on compact homogeneous space $G…
Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds
Vishvesh Kumar, Michael Ruzhansky
We prove the classical Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds.