Weighted variation inequalities for singular integrals and commutators in rearrangement invariant Banach and quasi-Banach spaces

DOI10.1007/s10114-023-1479-1OpenAlexW4366122368MaRDI QIDQ6050135

Publication date: 18 September 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-023-1479-1

zbMATH Keywords

singular integrals commutators sparse operators variation operators rearrangement invariant Banach function spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
$L^p$-boundedness properties of variation operators in the Schrödinger setting
A pointwise estimate for positive dyadic shifts and some applications
On an estimate of Calderón-Zygmund operators by dyadic positive operators
A criterion on oscillation and variation for the commutators
An elementary proof of the $A_{2}$ bound
Sharp weighted norm estimates beyond Calderón-Zygmund theory
Weights, extrapolation and the theory of Rubio de Francia.
Uniform sparse domination of singular integrals via dyadic shifts
Sums of independent random variables in rearrangement invariant function spaces
Variation in probability, ergodic theory and analysis
Ergodic theory and connections with analysis and probability
Weighted oscillation and variation inequalities for singular integrals and commutators satisfying Hörmander type conditions
On dimension-free variational inequalities for averaging operators in ${\mathbb{R}^d}$
Oscillation and variation for the Hilbert transform
Dimension free estimates for the oscillation of Riesz transforms
Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents
Sparse domination and weighted inequalities for the $\rho$-variation of singular integrals and commutators
Vector-valued operators, optimal weighted estimates and the $C_p$ condition
Variational inequalities for the commutators of rough operators with BMO functions
Sparse and weighted estimates for generalized Hörmander operators and commutators
Intuitive dyadic calculus: the basics
$\ell ^p\left(\mathbb {Z}^d\right)$-estimates for discrete operators of Radon type: variational estimates
Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals
Rubio de Francia's extrapolation theory: estimates for the distribution function
Convexity conditions for non-locally convex lattices
La variation d'ordre p des semi-martingales
Oscillation in ergodic theory
Oscillation and variation for singular integrals in higher dimensions
Sharp weighted bounds for the q -variation of singular integrals
A unified method for maximal truncated Calderón–Zygmund operators in general function spaces by sparse domination
A Simple Proof of the A2 Conjecture
$L^p$ estimates for the variation for singular integrals on uniformly rectifiable sets
The Hilbert Transform on Rearrangement-Invariant Spaces
Majorants in Spaces of Integrable Functions
Some remarks on multilinear maps and interpolation

This page was built for publication: Weighted variation inequalities for singular integrals and commutators in rearrangement invariant Banach and quasi-Banach spaces