On the multilinear fractional integral operators with correlation kernels

DOI10.1007/s00041-017-9591-1zbMath1412.31004arXiv1602.06126OpenAlexW2288088713MaRDI QIDQ666653

Zuoshunhua Shi, Di Wu, Yan, Dunyan

Publication date: 6 March 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06126

zbMATH Keywords

multilinear fractional integral operatorscorrelation kernels

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (2)

On a \(k\)-fold beta integral formula ⋮ Necessary and sufficient conditions on weighted multilinear fractional integral inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in \(H^{1,1}(\mathbb{C})\)
• A multilinear generalisation of the Hilbert transform and fractional integration
• On the theory of harmonic functions of several variables
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Gaussian kernels have only Gaussian maximizers
• On a reverse form of the Brascamp-Lieb inequality
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• A Selberg integral formula and applications
• Multilinear estimates and fractional integration
• Sharp inequalities for functional integrals and traces of conformally invariant operators.
• Functionals for multilinear fractional embedding
• Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• Multilinear Embedding and Hardy's Inequality
• On functions of bounded mean oscillation
• The Brascamp–Lieb Polyhedron
• On the Restriction of The Fourier Transform to Curves: Endpoint Results and The Degenerate Case
• On multilinear fractional integrals
• Convex Analysis
• Some remarks on multilinear maps and interpolation

This page was built for publication: On the multilinear fractional integral operators with correlation kernels