Weighted Hardy–Littlewood–Sobolev-type inequality for ψ-Riemann–Liouville fractional integrals-Reference-Cited by-同舟云学术

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Weighted Hardy–Littlewood–Sobolev-type inequality for ψ-Riemann–Liouville fractional integrals

Published:2023-04-01 Issue:1 Volume:67 Page:
ISSN:0019-2082
Container-title:Illinois Journal of Mathematics
language:
Short-container-title:Illinois J. Math.

Author:

Ledesma César E. Torres¹,Sousa J. Vanterler da C.²,Cruz Amado M.³

Affiliation:

1. Instituto de Investigación en Matemáticas, Faculta de Ciencias Físicas y Matemáticas, Universidad Nacional de Trujillo, Trujillo-Perú

2. Centro de Matemática, Computação e Cognição, Universidade Federal do ABC-UFABC, Santo André, SP, Brazil

3. Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo-Perú

Publisher

Duke University Press

Subject

General Mathematics

Reference38 articles.

1. K. F. Andersen and H. P. Heinig, Weighted norm inequalities for certain integral operators, SIAM J. Math. Anal. 14 (1983), no. 4, 834–844.

2. K. F. Andersen and B. Muckenhoupt, Weighted weak-type Hardy inequalities with applications to Hilbert transforms and maximal functions, Studia Math. 72 (1982), no. 1, 9–26.

3. W. Beckner, Pitt’s inequality and the uncertainty principle, Proc. Amer. Math. Soc. 123 (1995), no. 6, 1897–1905.

4. W. Beckner, Weighted inequalities and Stein–Weiss potentials, Forum Math. 20 (2008), no. 4, 587–606.

5. S. Bloom and R. Kerman, Weighted norm inequalities for operators of Hardy type, Proc. Amer. Math. Soc. 113 (1991), no. 1, 135–141.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some boundedness results for Riemann-Liouville tempered fractional integrals;Fractional Calculus and Applied Analysis;2024-02-16

2. Some boundedness results for $$\psi $$-Riemann–Liouville and $$\psi $$-Riemann–Liouville tempered fractional integrals in $${\mathbb {R}}$$;Advances in Operator Theory;2024-01-18

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