M. Ruzhansky

activity

20082026

most citedClassical inequalities for all Fourier matrix coefficients of

SL (2, R)

and their applications

1 citations · 5 across the 25 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.AP2023★ 1 cited

Stein-Weiss inequality on non-compact symmetric spaces

Vishvesh Kumar, Michael Ruzhansky, Hong-Wei Zhang

Let $Δ$ be the Laplace-Beltrami operator on a non-compact symmetric space of any rank, and denote the bottom of its $L^{2}$ -spectrum as $- ∣ ρ ∣^{2}$ . In this paper, we provide a compre…

math.AP2023

$L^{p}$ - $L^{q}$ estimates for subelliptic pseudo-differential operators on compact Lie groups

Duván Cardona, Julio Delgado, Vishvesh Kumar +1

We establish the $L^{p}$ - $L^{q}$ -boundedness of subelliptic pseudo-differential operators on a compact Lie group $G$ . Effectively, we deal with the $L^{p}$ - $L^{q}$ -bounds for operators in…

math.AP2023

Semi-classical pseudo-differential operators on $ℏ Z^{n}$ and applications

Linda N. A. Botchway, Marianna Chatzakou, Michael Ruzhansky

In this paper we consider the semiclassical version of pseudo-differential operators on the lattice space $ℏ Z^{n}$ . The current work is an extension of a previous work…

math.AP2023

Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria

Duván Cardona, Julio Delgado, Brian Grajales +1

Let $A$ and $B$ be invariant linear operators with respect to a decomposition ${H_{j}}_{j \in N}$ of a Hilbert space $H$ in subspaces of finite dimension. We gi…

Stein-Weiss inequality on non-compact symmetric spaces

Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups

Semi-classical pseudo-differential operators on ℏZn and applications

Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria

$L^{p}$ - $L^{q}$ estimates for subelliptic pseudo-differential operators on compact Lie groups

Semi-classical pseudo-differential operators on $ℏ Z^{n}$ and applications