M. Ruzhansky

most citedClassical inequalities for all Fourier matrix coefficients of

SL (2, R)

and their applications

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2025

Besov and Triebel-Lizorkin spaces on homogeneous groups

Guorong Hu, David Rottensteiner, Michael Ruzhansky +1

This paper develops a theory of Besov spaces $B ˙_{p, q}^{σ} (N)$ and Triebel-Lizorkin spaces $F ˙_{p, q}^{σ} (N)$ on an arbitrary homogeneous group $N$ for the…

math.FA2024★ 1 cited

Classical inequalities for all Fourier matrix coefficients of $SL (2, R)$ 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 $(l, n)$ -ty…

math.AP2024

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case

Vishvesh Kumar, Shyam Swarup Mondal, Michael Ruzhansky +1

Let $G$ be a graded Lie group with homogeneous dimension $Q$ . In this paper, we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving a posi…

Besov and Triebel-Lizorkin spaces on homogeneous groups

Classical inequalities for all Fourier matrix coefficients of SL(2,R) and their applications

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case

Classical inequalities for all Fourier matrix coefficients of $SL (2, R)$ and their applications