Weighted strong-type estimates on classical Lorentz spaces
DOI10.1007/s12220-023-01519-zOpenAlexW4391051766WikidataQ129663511 ScholiaQ129663511MaRDI QIDQ6185088
Publication date: 29 January 2024
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-023-01519-z
Calderón-Zygmund operatorsMuckenhoupt weightsBochner-Riesz operatorsparse operatorsextrapolation theoryweighted classical Lorentz spaces
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On an estimate of Calderón-Zygmund operators by dyadic positive operators
- The sharp weighted bound for general Calderón-Zygmund operators
- Boundedness of the Hilbert transform on weighted Lorentz spaces
- Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces
- Weights, extrapolation and the theory of Rubio de Francia.
- Extrapolation of weights revisited: new proofs and sharp bounds
- Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
- Bounds on oscillatory integral operators based on multilinear estimates
- The intrinsic square function
- Weighted norm inequalities for averaging operators of monotone functions
- Factorization theorems for Hardy spaces in several variables
- Boundedness of sparse and rough operators on weighted Lorentz spaces
- Calderón-Zygmund operators and commutators on weighted Lorentz spaces
- Weighted norm inequalities for rough singular integral operators
- Intuitive dyadic calculus: the basics
- Weighted weak-type \((1, 1)\) estimates via Rubio de Francia extrapolation
- 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
- Sharp bounds for general commutators on weighted Lebesgue spaces
- Norm estimates for the Hardy operator in terms of $B_p$ weights
- Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
- Factorization Theory and A P Weights
- Covering Lemmas and the Sharp Function
- Recent developments in the theory of Lorentz spaces and weighted inequalities
- Singular Integrals and Weights
- Boundedness of classical operators on classical Lorentz spaces
- Integral inequalities with weights for the Hardy maximal function
- On Almost Everywhere Convergence of Bochner-Riesz Means in Higher Dimensions
- Some classical operators on Lorentz space
- Weighted Generalized Hardy Inequalities for Nonincreasing Functions
- Weighted Norm Inequalities for Bochner-Riesz Operators and Singular Integral Operators
- Weighted norm inequalities for maximal functions and singular integrals
- Boundedness of Some Integral Operators
- Weak-type weights and normable Lorentz spaces
- Modern Fourier Analysis
- A Simple Proof of the A2 Conjecture
- Weighted Weak Type (1,1) Bounds for Rough Operators
- Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces
- Oscillatory integrals and multiplier problem for the disc
- Weighted estimates for Bochner–Riesz operators on Lorentz spaces
This page was built for publication: Weighted strong-type estimates on classical Lorentz spaces