Variation Inequalities for the Commutators of One-Sided Calderón-Zygmund Singular Integrals with Lipschitz Functions - Advances in Pure Mathematics

APM > Vol.11 No.12, December 2021

Advances in Pure Mathematics

Volume 11, Issue 12 (December 2021)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

Variation Inequalities for the Commutators of One-Sided Calderón-Zygmund Singular Integrals with Lipschitz Functions ()

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DOI: 10.4236/apm.2021.1112063 146 Downloads 574 Views

Author(s)

Tingting Juan, Xianming Hou^*

Affiliation(s)

School of Mathematics and Statistics, Linyi University, Linyi, China.

ABSTRACT

In this paper, we establish the weighted L^p (1 < p < ∞) boundedness of variation operator for the commutators generated by one-sided Calderón-Zygmund singular integrals with Lipschitz functions.

KEYWORDS

Variation, One-Sided Singular Integrals, Commutator, Lipschitz Functions

Share and Cite:

Juan, T. and Hou, X. (2021) Variation Inequalities for the Commutators of One-Sided Calderón-Zygmund Singular Integrals with Lipschitz Functions. Advances in Pure Mathematics, 11, 978-987. doi: 10.4236/apm.2021.1112063.

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