Multipliers and embedding operators with application to abstract differential equatıons

2017/05/22 by Veli Shakhmurov, Shakhmurov, Veli
Mathematics · #42B15 #42B37 #46E35 #47A50 #47Axx #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1706.00808

openalex publication_date 2017/05/22 · openalex created_date 2017/06/15 · openalex updated_date 2026/07/28

Abstract

In this paper, Mikhlin and Marcinkiewicz--Lizorkin type operator-valued multiplier theorems in weighted Lebesgue-Bochner spaces are studied. By using this results embedding theorems in Sobolev-Lions type spaces is obtained. Moreover, maximal regularity properties of abstract elliptic and parabolic equations are derived

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