Variation Inequalities for One-Sided Singular Integrals and Related Commutators

Autor:	Feng Liu, Seongtae Jhang, Sung-Kwun Oh, Zunwei Fu
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	ϱ-variation one-sided singular integral commutator one-sided weighted Morrey space one-sided weighted Campanato space Mathematics QA1-939
Zdroj:	Mathematics, Vol 7, Iss 10, p 876 (2019)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math7100876
Popis:	We establish one-sided weighted endpoint estimates for the ϱ -variation ( ϱ > 2 ) operators of one-sided singular integrals under certain priori assumption by applying one-sided Calderón−Zygmund argument. Using one-sided sharp maximal estimates, we further prove that the ϱ -variation operators of related commutators are bounded on one-sided weighted Lebesgue and Morrey spaces. In addition, we also show that these operators are bounded from one-sided weighted Morrey spaces to one-sided weighted Campanato spaces. As applications, we obtain some results for the λ -jump operators and the numbers of up-crossings. Our main results represent one-sided extensions of many previously known ones.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ab3a7ddd874e42b38cadfa6446af0cca Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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