Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces

• Autorzy: Ferit Gurbuz
• Języki publikacji: EN

Abstrakty

EN

In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator which satisfies the conditions of these theorems can be considered as an example.

Słowa kluczowe

EN

Parabolic singular integral operator; Parabolic sublinear operator; Parabolic maximal operator; Rough kernel; Parabolic generalized local Morrey space; Parabolic local Campanato spaces; Commutator

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 300-323

Daty

wydano

2016-01-01

otrzymano

2016-02-02

zaakceptowano

2016-04-25

online

2016-05-19

Twórcy

autor

Ferit Gurbuz

• Ankara University, Faculty of Science, Department of Mathematics, Tandoğan 06100, Ankara,

Identyfikatory

DOI

10.1515/math-2016-0028