On the behaviors of rough multilinear fractional integral and\n multi-sublinear fractional maximal operators both on product L^p and\n weighted L^p spaces

2016/02/29 by Feri̇t Gürbüz, Gurbuz, Ferit
Mathematics · #42B20 #42B25 #42B35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1603.03466

openalex publication_date 2016/02/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to get the product Lp-estimates, weighted estimates\nand two-weighted estimates for rough multilinear fractional integral operators\nand rough multi-sublinear fractional maximal operators, respectively. The\nauthor also studies two-weighted weak type estimate on product Lp (Rn) for\nrough multi-sublinear fractional maximal operators. In fact, this article is\nthe rough kernel versions of [4, 5]' s results.\n

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