6 citations · 25 across the 44 of their papers we have counts for
6 papers · 1 filter
Stein-Weiss inequality on non-compact symmetric spaces
Vishvesh Kumar, Michael Ruzhansky, Hong-Wei Zhang
Let be the Laplace-Beltrami operator on a non-compact symmetric space of any rank, and denote the bottom of its -spectrum as . In this paper, we provide a compre…
- estimates for subelliptic pseudo-differential operators on compact Lie groups
Duván Cardona, Julio Delgado, Vishvesh Kumar +1
We establish the --boundedness of subelliptic pseudo-differential operators on a compact Lie group . Effectively, we deal with the --bounds for operators in…
Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity
Vishvesh Kumar, Joel E. Restrepo, Michael Ruzhansky
We derive asymptotic estimates for the growth of the norm of the deformed Hankel transform on the deformed Hankel--Lipschitz space defined via a generalised modulus of continuity.…
- boundedness of pseudo-differential operators on graded Lie groups
Duván Cardona, Vishvesh Kumar, Michael Ruzhansky
In this paper we establish the - estimates for global pseudo-differential operators on graded Lie groups. We provide both necessary and sufficient conditions for the $L^p…
Non-harmonic -elliptic pseudo differential operators on manifolds
Aparajita Dasgupta, Vishvesh Kumar, Lalit Mohan +1
In this article, we introduce and study -elliptic pseudo-differential operators in the framework of non-harmonic analysis of boundary value problems on a manifold with bound…
Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups
Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky
In this paper, we establish the sharp fractional subelliptic Sobolev inequalities and Gagliardo-Nirenberg inequalities on stratified Lie groups. The best constants are given in ter…