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

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA13-14743S" target="_blank" >GA13-14743S: Function spaces, weighted inequalities and interpolation II</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Tokyo Journal of Mathematics

  • ISSN

    0387-3870

  • e-ISSN

  • Volume of the periodical

    41

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    JP - JAPAN

  • Number of pages

    26

  • Pages from-to

    193-218

  • UT code for WoS article

    000439424800009

  • EID of the result in the Scopus database

    2-s2.0-85051184004