A GENERALIZATION OF BOYD'S INTERPOLATION THEOREM

• 作者: Kwok-Pun HO
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 1263-1274
• 页数: 12页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.04.014

摘要

Boyd's interpolation theorem for quasilinear operators is generalized in this pa-per,which gives a generalization for both the Marcinkiewicz interpolation theorem and Boyd's interpolation theorem.By using this new interpolation theorem,we study the spherical fractional maximal functions and the fractional maximal commutators on rearrangement-invariant quasi-Banach function spaces.In particular,we obtain the mapping properties of the spherical fractional maximal functions and the fractional maximal commutators on generalized Lorentz spaces.