115 citations · 1.9k across the 226 of their papers we have counts for
6 papers · 2 filters
Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality
Prasun Roychowdhury, Michael Ruzhansky, Durvudkhan Suragan
We establish a new improvement of the classical -Hardy inequality on the multidimensional Euclidean space in the supercritical case. Recently, in [14], there has been a new ki…
An Update On The - Norms of Spectral Multipliers on Unimodular Lie Groups
David Rottensteiner, Michael Ruzhansky
This note gives a wide-ranging update on the multiplier theorems by Akylzhanov and the second author [J. Funct. Anal., 278 (2020), 108324]. The proofs of the latter crucially rely…
Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order
Manoj Kumar, Vishvesh Kumar, Michael Ruzhansky
A classical theorem of Titchmarsh relates the -Lipschitz functions and decay of the Fourier transform of the functions. In this note, we prove the Titchmarsh theorem for Damek…
Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups
Duván Cardona, Michael Ruzhansky
In this work we extend the -Björk-Sjölin theory of strongly singular convolution operators to arbitrary graded Lie groups. Our criteria are presented in terms of the oscillati…
Oscillating singular integral operators on compact Lie groups revisited
Duván Cardona, Michael Ruzhansky
In [24, Theorem 2'] Charles Fefferman has proved the weak (1,1) boundedness for a class of oscillating singular integrals that includes the oscillating spectral multipliers of the…
Oscillating singular integral operators on graded Lie groups revisited
Duván Cardona, Michael Ruzhansky
In this work, we extend the Euclidean theory of oscillating singular integrals due to Fefferman and Stein in \cite{Fefferman1970,FeffermanStein1972} to arbitrary graded Lie groups.…