Bla.zej Wr'obel

activity

20162026

L^{p}

estimates for vectors of Riesz transforms associated with orthogonal expansions

12 citations · 18 across the 12 of their papers we have counts for

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6 papers · 1 filter

math.FA2023

Improved multiplier theorems on rank one noncompact symmetric spaces

Błażej Wróbel

We prove multiplier theorems on rank one noncompact symmetric spaces which improve aspects of existing results. A common theme of our main results is that we partially drop specifi…

math.FA2022

On $L^{p}$ estimates for positivity-preserving Riesz transforms related to Schrödinger operators

Maciej Kucharski, Błażej Wróbel

We study the $L^{p},$ $1 ⩽ p ⩽ \infty,$ boundedness for Riesz transforms of the form $V^{a} (- \frac{1}{2} Δ + V)^{- a},$ where $a > 0$ and $V$ is a non-negative potential. W…

math.FA2019

Marcinkiewicz-type multipliers on products of noncompact symmetric spaces

Stefano Meda, Błażej Wróbel

In this paper we prove a Marcinkiewicz-type multiplier result for the spherical Fourier transform on products of rank one noncompact symmetric spaces.

math.FA2018★ 1 cited

Spectral multipliers for functions of fixed $K$ -type on $L^{p} (S L (2, R))$

Fulvio Ricci, Błażej Wróbel

We prove an $L^{p}$ spectral multiplier theorem for functions of the $K$ -invariant sublaplacian $L$ acting on the space of functions of fixed $K$ -type on the group $SL(2,\mathbb{R}).…

math.FA2017★ 12 cited

Dimension-free $L^{p}$ estimates for vectors of Riesz transforms associated with orthogonal expansions

Błażej Wróbel

An explicit Bellman function is used to prove a bilinear embedding theorem for operators associated with general multi-dimensional orthogonal expansions on product spaces. This is…

math.FA2016

$L^{p}$ spherical multipliers on homogeneous trees

Dario Celotto, Stefano Meda, Błażej Wróbel

We characterise, for each $p$ in $[1, \infty) ∖ {2}$ , the class of $L^{p}$ spherical multipliers on homogeneous trees in terms of $L^{p}$ Fourier multipliers on the torus.

Improved multiplier theorems on rank one noncompact symmetric spaces

On Lp estimates for positivity-preserving Riesz transforms related to Schrödinger operators

Marcinkiewicz-type multipliers on products of noncompact symmetric spaces

Spectral multipliers for functions of fixed K-type on Lp(SL(2,R))

Dimension-free Lp estimates for vectors of Riesz transforms associated with orthogonal expansions

Lp spherical multipliers on homogeneous trees

On $L^{p}$ estimates for positivity-preserving Riesz transforms related to Schrödinger operators

Spectral multipliers for functions of fixed $K$ -type on $L^{p} (S L (2, R))$

Dimension-free $L^{p}$ estimates for vectors of Riesz transforms associated with orthogonal expansions

$L^{p}$ spherical multipliers on homogeneous trees