Inequalities for the fractional convolution operator on differential forms

DOI10.1186/s13660-018-1768-xzbMath1498.47116OpenAlexW2884013491WikidataQ91103309 ScholiaQ91103309MaRDI QIDQ824674

Qunfang Li, Huacan Li, Zhimin Dai

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1768-x

zbMATH Keywords

Lipschitz normdifferential formBMO normCoifman type inequalityfractional convolution operator

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Fractional derivatives and integrals (26A33) Other analytical inequalities (26D20)

Related Items (1)

Some higher norm inequalities for composition of power operators

Cites Work

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• Carathéodory operator of differential forms
• Estimates for the composition of the Carathéodory and homotopy operators
• Inequalities for the composition of Green's operator and the potential operator
• BMO and Lipschitz norm estimates for the composition of Green's operator and the potential operator
• Lipschitz and BMO norm inequalities for operators
• Inequalities for two type potential operators on differential forms
• Weighted inequalities for potential operators on differential forms
• Integral estimates for null Lagrangians
• Elliptic partial differential equations of second order
• Weighted inequalities for fractional integral operators with kernel satisfying Hörmander type conditions
• Inequalities for Differential Forms
• L^p-averaging domains and the Poincaré inequality

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