Schrödinger type operators on generalized Morrey spaces

2015/04/14 by Pengtao Li, Li, Pengtao, Xin Wan +3
Mathematics · #42B20 #42B35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1504.05075

openalex publication_date 2015/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce a class of generalized Morrey spaces associated with Schrödinger operator L=-Δ+V. Via a pointwise estimate, we obtain the boundedness of the operators V^β₂(-Δ+V)^-β₁ and their dual operators on these Morrey spaces.

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