Real interpolation of variable martingale Hardy spaces and BMO spaces

被引：3

作者：

Lu, Jianzhong ^{[1
]}

Weisz, Ferenc ^{[2
]}

Zhou, Dejian ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410075, Peoples R China

[2] Eotvos L Univ, Dept Numer Anal, Pazmany P Setany 1-C, H-1117 Budapest, Hungary

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2023年 / 17卷 / 03期

关键词：

Variable exponent Lebesgue spaces; Martingale Hardy spaces; BMO spaces; Real interpolation; LEBESGUE SPACES; LORENTZ SPACES; INEQUALITIES;

D O I：

10.1007/s43037-023-00270-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we mainly consider the real interpolation spaces for variable Lebesgue spaces defined by the decreasing rearrangement function and for the corresponding martingale Hardy spaces. Let 0 < q = 8 and 0 < ? < 1. Our three main results are the following: and (Lp(.)(R-n), L8(R-n))? ,q = Lp(.)/(1-?),q(Rn),(H(s)p(.)(O), H(s)8(O))?,q =H(s)p(.)/(1-?),q(O) (H(s)p(.)(O),andBMO(2)(O))? ,q = H(s)p(.)/(1-?),q(O),where the variable exponent p(.) is a measurable function.

引用

页数：28

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