On the ranges of bilinear pseudo-differential operators of S_0,0-type on L² × L²

2020/10/26 by Naoki Hamada, Hamada, Naoki, Naoto Shida +3 · 1 citation
Mathematics · #35S05 #42B15 #42B35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2010.13280

openalex publication_date 2020/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, the ranges of bilinear pseudo-differential operators of S_0,0-type on L² × L² are determined in the framework of Besov spaces. Our result improves the L² × L² → L¹ boundedness of those operators with symbols in the bilinear Hörmander class BS^m_0,0.

Citations

• Bilinear pseudo-differential operators with exotic symbols
• Bilinear pseudo-differential operators with exotic class symbols of limited smoothness

Cited by

• Kato-Ponce type inequality for bilinear pseudo-differential operators of S_0,0-type in the scale of Besov spaces

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• Bilinear pseudo-differential operators with exotic symbols, II
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