Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00490765" target="_blank" >RIV/67985840:_____/18:00490765 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.3836/tjm/1502179258" target="_blank" >http://dx.doi.org/10.3836/tjm/1502179258</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3836/tjm/1502179258" target="_blank" >10.3836/tjm/1502179258</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA13-14743S" target="_blank" >GA13-14743S: Prostory funkcí, váhové nerovnosti a interpolace II</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Tokyo Journal of Mathematics

ISSN

0387-3870

e-ISSN

—

Svazek periodika

41

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

JP - Japonsko

Počet stran výsledku

26

Strana od-do

193-218

Kód UT WoS článku

000439424800009

EID výsledku v databázi Scopus

2-s2.0-85051184004