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Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function
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SYSNO ASEP 0490765 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function Tvůrce(i) Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Mustafayev, R. (TR)
Agcayazi, M. (TR)Zdroj.dok. Tokyo Journal of Mathematics. - : Kinokuniya Shoten - ISSN 0387-3870
Roč. 41, č. 1 (2018), s. 193-218Poč.str. 26 s. Jazyk dok. eng - angličtina Země vyd. JP - Japonsko Klíč. slova Morrey spaces ; maximal operator ; commutator Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA13-14743S GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000439424800009 EID SCOPUS 85051184004 DOI 10.3836/tjm/1502179258 Anotace In this paper it is shown that the Hardy-Littlewood maximal operator M is not bounded on Zygmund-Morrey space, but M is still bounded for radially decreasing functions. The boundedness of the iterated maximal operator M^2 from Zygmund-Morrey space to weak Zygmund-Morrey space is proved. The class of functions for which the maximal commutator C_b is bounded from Zygmund-Morrey space to weak Zygmund-Morrey space are characterized. It is proved that the commutator of the Hardy-Littlewood maximal operator M for BMO function b with bounded negative part is bounded from Zygmund-Morrey space to weak Zygmund-Morrey space. New pointwise characterizations of iteration of maximal and fractional maximal functions by means of norm of Hardy-Littlewood maximal function in classical Morrey spaces are given. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2019
Počet záznamů: 1