New Young inequalities and applications

DOI10.4171/ZAA/1644zbMath1443.46013arXiv1705.06170MaRDI QIDQ2295610

Eduardo Brandani da Silva, Pedro Fernández-Martínez

Publication date: 14 February 2020

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06170

zbMATH Keywords

convolution operatorinterpolation theoryfunction spacesbilinear multipliers

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators defined by compactness properties (47B07) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups equipped with Haar measure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convolution in rearrangement-invariant spaces defined in terms of oscillation and the maximal function
• Equivalence of \(K\)- and \(J\)-methods for limiting real interpolation spaces
• Real interpolation with logarithmic functors.
• Compactness results for a class of limiting interpolation methods
• Interpolation of bilinear operators between quasi-Banach spaces
• On an extreme class of real interpolation spaces
• On the integrability of the Jacobian under minimal hypotheses
• On interpolation of bilinear operators by the real method
• Duality and reflexivity in grand Lebesgue spaces
• Grand and small Lebesgue spaces and their analogs
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Reiteration theorems with extreme values of parameters
• Description of logarithmic interpolation spaces by means of the \(J\)-functional and applications
• Convolution operators and L(p, q) spaces
• On L(p,q) spaces
• Convolution in Weighted Lorentz Spaces of Type $\Gamma$
• A LIMITING CASE OF ULTRASYMMETRIC SPACES
• Convolution inequalities in weighted Lorentz spaces
• Convolution Theorems with Weights
• REAL INTERPOLATION WITH SYMMETRIC SPACES AND SLOWLY VARYING FUNCTIONS
• Notes on the spaces of bilinear multipliers
• Interpolation of Orlicz spaces
• Convolution and potential type operators inL^p(x)(Rⁿ)
• Convolution type operators inl^p(x)
• Weighted Young's Inequality and Convolution Theorems on Weighted Besov Spaces
• Real Interpolation with Logarithmic Functors and Reiteration
• Limiting reiteration for real interpolation with slowly varying functions
• Limit cases of reiteration theorems
• Fractional Integration in Orlicz Spaces. I
• An application of interpolation theory to renorming of Lorentz-Karamata type spaces
• On a Convolution Theorem for L(p, q) Spaces
• Convolution of L(p, q) Functions

This page was built for publication: New Young inequalities and applications