PARABOLIC FRACTIONAL MAXIMAL COMMUTATORS WITH BMO FUNCTION ON ORLICZ SPACES

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Guliyev V. S., EROĞLU A., Eroglu G. A.

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, no.1, pp.3-14, 2024 (SCI-Expanded)

• Publication Type: Article / Article
• Publication Date: 2024
• Doi Number: 10.30546/2219-1259.15.1.2024.1003
• Journal Name: TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
• Page Numbers: pp.3-14
• Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In the note, we give necessary and sufficient conditions for the boundedness of the parabolic fractional maximal commutators M-b,alpha(P) on Orlicz spaces L-Phi (R-n) when b belongs to BMO (R-n) spaces, by which some new characterizations for BMO(R-n) spaces is obtained.