Monge–Ampère singular integral operators acting on Triebel–Lizorkin spaces

DOI10.1080/00036811.2019.1623392zbMath1460.42014OpenAlexW2948907834MaRDI QIDQ5856752

Ming-Yi Lee, Chin-Cheng Lin, Meng Qu, Mei Fang Cheng

Publication date: 29 March 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1623392

zbMATH Keywords

Triebel-Lizorkin spacesMonge-Ampère singular integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Cites Work

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• Lipschitz functions on spaces of homogeneous type
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• Properties of the solutions of the linearized Monge-Ampere equation
• Some regularity properties of solutions of Monge Ampère equation
• Boundary regularity of maps with convex potentials
• Extensions of Hardy spaces and their use in analysis
• Geometric properties of the sections of solutions to the Monge-Ampère equation
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Real analysis related to the Monge-Ampère equation
• Boundedness of Monge–Ampère singular integral operators on Besov spaces
• Some Maximal Inequalities
• Weak-type (1-1) inequality for the Monge-Ampère SIO's

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