Weak-type Estimates in Morrey Spaces for Maximal Commutator and Commutator of Maximal Function
Yükleniyor...
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tokyo Journal Mathematics Editorial Office Acad Center
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper it is shown that the Hardy-Littlewood maximal operator M is not bounded on Zygmund-Money space M-L(log L),M-lambda,M- O < lambda < n, but M is still bounded on M-L(logL),M-lambda for radially decreasing functions. The boundedness of the iterated maximal operator M-2 from M-L(log L),M-lambda to weak Zygmund-Morrey space WML(log L),lambda is proved. The class of functions for which the maximal commutator C-b is bounded from ML((log L),lambda)to WM(L(log L),lambda)are characterized. It is proved that the commutator of theHIardy-Littlewood maximal operator M with function b is an element of BMO(R-n)A such that b(-)is an element of L-infinity(R-n)A is bounded fom M(L(log L),lambda)to WM(L(log L),lambda. )New pointwise characterizations of M alpha M by means of norm of Hardy-Littlewood maximal function in classical Morrey spaces are given.
Açıklama
Gogatishvili, Amiran/0000-0003-3459-0355; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646
Anahtar Kelimeler
Morrey spaces, maximal operator, commutator, BMO
Kaynak
Tokyo Journal Of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
41
Sayı
1
Künye
Aǧcayazı, M., Gogatishvili, A., & Mustafayev, R. (2018). Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function. Tokyo Journal of Mathematics, 41(1), 193-218.
