Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces

Published:2021-10-10 Issue:2 Volume:1 Page:15-19
ISSN:2582-8932
Container-title:Indian Journal of Advanced Mathematics
language:
Short-container-title:IJAM

Author:

Mamatov Tulkin, ,Mustafoev Nemat,Barakaev Dilshod,Sabirova Rano, , ,

Abstract

We study mixed Riemann-Liouville fractional integration operators and mixed fractional derivative in Marchaud form of function of two variables in Hölder spaces of different orders in each variables. The obtained are results generalized to the case of Hölder spaces with power weight. Keywords: functions of two variables, fractional derivative of Marchaud form, mixed fractional derivative, weight, mixed fractional integral, Hölder space.

Publisher

Lattice Science Publication (LSP)

Reference17 articles.

1. H. G. Hardy and J.E. Littlewood,Some properties of fractional integrals. I. Math. Z. 27 (4), 1928, pp. 565-606.

2. N. K. Karapetiants and L.D. Shankishvili, A shot proof of Hardy- Littlewood - type theorem for fractional integrals in weighted Hölder spaces. Fract. Calc. Appl. Anal. vol 2(2), 1999, pp. 117-192.

3. N. K. Karapetiants and L.D. Shankishivili, Fractional integro-diﬀerentiation of the complex order in generalized Hölder spaces . Integral Transforms Spec. Funct. vol. 13(3), 2002,pp. 199-209.

4. T. Mamatov and S. Samko,Mixed fractional integration operators in mixed weighted Hölder spaces. Fract. Calc. Appl. Anal. vol. 13(3) ,2010, pp. 245-259.

5. T. Mamatov,Mixed fractional integration operators in mixed weighted generalized Hölder spaces. Case Studies Journal, vol. 7(6), 2018,pp. 61-68.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP