Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces

• Autorzy: Viktor I. Burenkov , Huseyn V. Guliyev
• Języki publikacji: EN

Abstrakty

EN

The problem of boundedness of the Hardy-Littewood maximal operator in local and global Morrey-type spaces is reduced to the problem of boundedness of the Hardy operator in weighted $L_{p}$-spaces on the cone of non-negative non-increasing functions. This allows obtaining sufficient conditions for boundedness for all admissible values of the parameters. Moreover, in case of local Morrey-type spaces, for some values of the parameters, these sufficient conditions are also necessary.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 163
• Numer: 2
• Strony: 157-176

Daty

wydano

2004

Twórcy

autor

Viktor I. Burenkov

• School of Mathematics, Cardiff University, PO Box 926, Cardiff, CF24 4YH, United Kingdom

autor

Huseyn V. Guliyev

• School of Mathematics, Cardiff University, PO Box 926, Cardiff, CF24 4YH, United Kingdom

Identyfikatory

DOI

10.4064/sm163-2-4