Lipschitz type smoothness of the fractional integral on variable exponent spaces
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Publication:394929
DOI10.1016/j.jmaa.2012.12.074zbMath1286.42023OpenAlexW2005621115MaRDI QIDQ394929
Oscar Salinas, Mauricio Ramseyer, Beatriz E. Viviani
Publication date: 28 January 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.12.074
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, A note on fractional integral operators on Herz spaces with variable exponent, Fractional integral associated with the Schrödinger operators on variable exponent space, Extrapolation and weighted norm inequalities between Lebesgue and Lipschitz spaces in the variable exponent context, Characterization of Lipschitz functions via the commutators of singular and fractional integral operators in variable Lebesgue spaces, Endpoint estimates of commutators of singular integrals vs. Conditions on the symbol
Cites Work
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- Weighted norm inequalities for the maximal operator on variable Lebesgue spaces
- Lebesgue and Sobolev spaces with variable exponents
- Orlicz spaces and modular spaces
- Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
- The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
- Weighted inequalities for negative powers of Schrödinger operators
- Variable exponent Morrey and Campanato spaces
- Embeddings of variable Hajłasz-Sobolev spaces into Hölder spaces of variable order
- On Sobolev theorem for Riesz-type potentials in Lebesgue spaces with variable exponent
- Elliptic partial differential equations of second order
- Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator
- Calderón-Zygmund estimates for higher order systems with \(p(x)\) growth
- Minimizers of the variable exponent, non-uniformly convex Dirichlet energy
- Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
- On the theory of \({\mathcal L}_{p, \lambda}\) spaces
- Higher integrability of very weak solutions of systems of \(p(x)\)-Laplacean type
- Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
- Form estimates for the 𝑝(𝑥)-Laplacean
- Entropy solutions for the $p(x)$-Laplace equation
- Convolution and potential type operators inLp(x)(Rn)
- Sobolev embeddings with variable exponent
- On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
- Gradient estimates for thep(x)-Laplacean system
- Boundedness of the fractional integral on weighted Lebesgue and Lipschitz spaces
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
