M. Ruzhansky

activity

20242026

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4 papers · 1 filter

math.FA2025

Schatten-von Neumann classes of tensors of invariant operators

Julio Delgado, Liliana Posada, Michael Ruzhansky

In this work we study Schatten-von Neumann classes of tensor products of invariant operators on Hilbert spaces. In the first part we first deduce some spectral properties for tenso…

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 $B ˙^{I ¨} _{p, q} (N)$ and Triebel-Lizorkin spaces $F ˙^{I ¨} _{p, q} (N)$ on an arbitrary homogeneous group $N$ for t…

math.FA2024

$L^{p}$ - $L^{q}$ Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type

Tapendu Rana, Michael Ruzhansky

Our primary objective in this article is to establish HÃ¶rmander type $L^{p} \to L^{q}$ Fourier multiplier theorems in the context of noncompact type Riemannian symmetric space…

math.FA2024

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…

Schatten-von Neumann classes of tensors of invariant operators

Besov and Triebel-Lizorkin spaces on homogeneous groups

Lp-Lq Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type

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

$L^{p}$ - $L^{q}$ Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type

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