11 citations · 16 across the 7 of their papers we have counts for
10 papers
On norms of maximal operators
Valentina Ciccone, Mahdi Hormozi, José Madrid +2
We study the exact norms for a number of maximal operators, which are prominent in harmonic analysis, semigroup theory, and probability. We prove that a strongly continuous p…
Dimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheres
Mahdi Hormozi, Jakub Niksiński, Błażej Wróbel
We prove that the full discrete Hardy-Littlewood maximal operator associated with Euclidean balls satisfies dimension-free bounds on for every . W…
On dimension-free variational inequalities for averaging operators in
Jean Bourgain, Mariusz Mirek, Elias M. Stein +1
We study dimension-free inequalities for -variations of the Hardy--Littlewood averaging operators defined over symmetric convex bodies in .
Approaching bilinear multipliers via a functional calculus
Błażej Wróbel
We propose a framework for bilinear multiplier operators defined via the (bivariate) spectral theorem. Under this framework we prove Coifman-Meyer type multiplier theorems and frac…
Strong continuity on Hardy spaces
Jacek Dziubański, Błażej Wróbel
We prove the strong continuity of spectral multiplier operators associated with dilations of certain functions on the general Hardy space introduced by Hofmann, Lu, Mitrea,…
On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates
Błażej Wróbel
We prove that the existence of a Mihlin-Hörmander functional calculus for an operator implies the boundedness on of both the maximal operators and the continuous square f…
Joint spectral multipliers for mixed systems of operators
Błażej Wróbel
We obtain a general Marcinkiewicz-type multiplier theorem for mixed systems of strongly commuting operators where some of the operators in have only a holomo…
Multivariate Spectral Multipliers
Błażej Wróbel
This thesis is devoted to the study of multivariate (joint) spectral multipliers for systems of strongly commuting non-negative self-adjoint operators, on $L^…
Dimension free estimates for Riesz transforms via an joint functional calculus
Błażej Wróbel
By using an joint functional calculus for strongly commuting operators, we derive a scheme to deduce the boundedness of certain -dimensional Riesz transforms…
Multivariate Hörmander-type multiplier theorem for the Hankel transform
Jacek Dziubański, Marcin Preisner, Błażej Wróbel
Let H(f)(x)=\int_{(0,infty)^d} f(v) E_{x}(v) dν(v), be the multivariable Hankel transform, where E_{x}(v)=\prod_{k=1}^d (x_k v_k)^{-a_k+1/2} J_{a_k-1/2}(x_k v_k), dν(v)=v^a dv, a=(…