Characterization of Lipschitz functions via the commutators of singular and fractional integral operators in variable Lebesgue spaces
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Publication:525074
DOI10.1007/s11118-016-9592-8zbMath1371.42022OpenAlexW2524524281MaRDI QIDQ525074
Wilfredo Ramos, Gladis Pradolini
Publication date: 28 April 2017
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-016-9592-8
Lipschitz spacesfractional integralsvariable exponent spacescommutators operatorsmaximal sharp operator
Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)
Related Items
Characterization of Lipschitz space via the commutators of fractional maximal functions on variable Lebesgue spaces, Characterization of Lipschitz functions via commutators of multilinear singular integral operators in variable Lebesgue spaces, The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces, On the optimal numerical parameters related with two weighted estimates for commutators of classical operators and extrapolation results, Commutators of singular integrals with kernels satisfying generalized Hörmander conditions and extrapolation results to the variable exponent spaces, \(L^p\)-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on \(\mathbb{R}^n\), Commutators of potential type operators with Lipschitz symbols on variable Lebesgue spaces with different weights, Weighted inequalities for multilinear operators acting between generalized Zygmund spaces assuming Musielak-Orlicz bumps conditions
Cites Work
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- Lipschitz type smoothness of the fractional integral on variable exponent spaces
- Weighted norm inequalities for the maximal operator on variable Lebesgue spaces
- Commutators of singular integrals on generalized \(L^p\) spaces with variable exponent
- Composition of fractional Orlicz maximal operators and \(A_1\)-weights on spaces of homogeneous type
- Lebesgue and Sobolev spaces with variable exponents
- Extrapolation and weighted norm inequalities between Lebesgue and Lipschitz spaces in the variable exponent context
- The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
- Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
- Weighted inequalities for commutators of fractional and singular integrals
- Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
- Factorization theorems for Hardy spaces in several variables
- Mean oscillation and commutators of singular integral operators
- Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function
- Endpoint estimates and weighted norm inequalities for commutators of fractional integrals
- Electrorheological fluids: modeling and mathematical theory
- Weak estimates for commutators of fractional integral operators
- Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator
- Maximal and fractional operators in weighted \(L^{p(x)}\) spaces
- Endpoint estimates for commutators of singular integral operators
- \(\mathcal{L}^p\) estimates for some ultraparabolic operators with discontinuous coefficients
- Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
- Two-weight inequalities for commutators of potential operators on spaces of homogeneous type
- Weighted weak-type estimates for multilinear commutators of fractional integrals on spaces of homogeneous type
- Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type
- Weighted norm inequalities for the maximal singular integral operators on spaces of homogeneous type
- The maximal operator on weighted variable Lebesgue spaces
- SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
- On functions of bounded mean oscillation
- Bessel potential spaces with variable exponent
- Commutators of singular integrals on spaces of homogeneous type
- W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
- The 𝐿^{𝑝} Dirichlet problem and nondivergence harmonic measure
- Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
- End-point estimates for iterated commutators of multilinear singular integrals
- Generalized maximal functions and related operators on weighted Musielak-Orlicz spaces
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Boundedness of the fractional integral on weighted Lebesgue and Lipschitz spaces
- Boundedness of commutators with Lipschitz functions in non-homogeneous spaces
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)