WEIGHTED VARIABLE EXPONENT LEBESGUE SPACES ON A PROBABILITY SPACE

被引：0

作者：

Aydin, Ismail ^{[1
]}

Aydin, Demet ^{[1
]}

机构：

[1] Sinop Univ, Dept Math, TR-57000 Sinop, Turkiye

来源：

JOURNAL OF SCIENCE AND ARTS | 2023年 / 04期

关键词：

weighted variable; Lebesque spaces; expectation operator; H & ouml; lder inequality; probability spaces;

D O I：

10.46939/J.Sci.Arts-23.4-a15

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we introduce the weighted variable exponent Lebesgue spaces defined on a probability space and give some information about the martingale theory of these spaces. We first prove several basic inequalities for expectation operators and obtain several norm convergence conditions for martingales in weighted variable exponent Lebesgue spaces. We discuss the H & ouml;lder inequality and embedding properties in these spaces. Finally, under some conditions we investigate Doob's maximal function.

引用

页码：977 / 986

页数：10

共 50 条

[1] Lebesgue spaces with variable exponent on a probability space
Aoyama, Hiroyuki
HIROSHIMA MATHEMATICAL JOURNAL, 2009, 39 (02) : 207 - 216
[2] Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
Öznur Kulak
A Turan Gürkanlı
Journal of Inequalities and Applications, 2013
[3] Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
Kulak, Oznur
Gurkanli, A. Turan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[4] Weighted composition operators on variable exponent Lebesgue spaces
Datt, Gopal
Bajaj, Daljeet Singh
Fiorenza, Alberto
ADVANCES IN OPERATOR THEORY, 2024, 9 (03)
[5] Approximation of the functions in weighted Lebesgue spaces with variable exponent
Jafarov, Sadulla Z.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (10) : 1444 - 1458
[6] Approximation Theorems in Weighted Lebesgue Spaces with Variable Exponent
Testici, Ahmet
FILOMAT, 2021, 35 (02) : 561 - 577
[7] Matrix Transforms in Weighted Variable Exponent Lebesgue Spaces
Testici, A.
Israfilov, D. M.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2022, 12 (02): : 30 - 44
[8] Weighted Sobolev theorem in Lebesgue spaces with variable exponent
Samko, N. G.
Samko, S. G.
Vakulov, B. G.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (01) : 560 - 583
[9] Lebesgue spaces with variable exponent on a probability space (vol 39, pg 207, 2009)
Aoyama, Hiroyuki
HIROSHIMA MATHEMATICAL JOURNAL, 2010, 40 (02) : 269 - 269
[10] Linear methods of approximation in weighted Lebesgue spaces with variable exponent
Testici, Ahmet
Israfilov, Daniyal M.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (03): : 744 - 753

← 1 2 3 4 5 →