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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 5
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Articles

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

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Pages 923-963 | Received 31 Jan 2019, Accepted 21 May 2019, Published online: 03 Jun 2019
 

Abstract

We study the Triebel–Lizorkin spaces associated with sections which are closely related to the Monge-Ampère equations and show that Monge-Ampère singular integral operators are bounded on these Triebel–Lizorkin spaces.

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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by NNSF of China [grant numbers 11771223 and 11201003] and University NSR Project of Anhui Province [grant number KJ2017ZD27]; MOST of Taiwan [grant number #MOST 106-2115-M-008-003-MY2] and NCTS of Taiwan; MOST of Taiwan [grant number #MOST 106-2115-M-008-004-MY3] and NCTS of Taiwan; NNSF of China [grant number 11471033], NSF of Anhui Provincial [grant number 1408085MA01], and University NSR Project of Anhui Province [grant number KJ2014A087].

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