6 citations · 26 across the 47 of their papers we have counts for
6 papers · 2 filters
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…
- 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…
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…
Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity
Rong Zhang, Vishvesh Kumar, Michael Ruzhansky
In this paper, we establish Liouville type results for semilinear subelliptic systems associated with the sub-Laplacian on the Heisenberg group involving two diffe…
Smoothing properties of dispersive equations on non-compact symmetric spaces
Vishvesh Kumar, Michael Ruzhansky, Hong-Wei Zhang
We establish the Kato-type smoothing property, i.e., global-in-time smoothing estimates with homogeneous weights, for the Schrödinger equation on Riemannian symmetric spaces of non…