Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces. (1st May 2020)

• Record Type: Journal Article
• Authors: Wang, Zequn; Wei, Mingquan; He, Qianjun; Yan, Dunyan
• Other Names: Sugimoto Mitsuru Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-05-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/5064156
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L 1 ℝ n 1 × ⋯ × ℝ n m to the space w L Q ℝ n 1 × ⋯ × ℝ n m and L p ℝ n 1 × ⋯ × ℝ n m to the space L q ℝ n 1 × ⋯ × ℝ n m . More generally, the operator norm of the fractional Hardy operator on higher-dimensional product spaces from L P ℝ n 1 × ⋯ × ℝ n m to L Q I ℝ n 1 × ⋯ × ℝ n m is obtained.