Higher-order interpolation inequalities with weights for radial functions

DOI10.1016/j.na.2020.112158zbMath1458.26026OpenAlexW3091847966MaRDI QIDQ1995015

Ryo Takada, Keiji Yoneda

Publication date: 18 February 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.112158

zbMATH Keywords

Gagliardo-Nirenberg inequality with weightsradial improvementsweighted interpolation inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• On weighted inequalities for fractional integrals of radial functions
• Fractional integrals on radial functions with applications to weighted inequalities
• Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities with angular integrability
• Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrödinger equations
• One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions
• Certain identities on derivatives of radial homogeneous and logarithmic functions
• Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
• Ulteriori proprieta di alcune classi di funzioni in piu variabili
• Interpolation inequalities with weights
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Regularity of solutions to the free Schrödinger equation with radial initial data

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