On multipliers for Hardy-Sobolev spaces and holomorphic potentials

2013/05/31 by Carme Cascante, Cascante, Carme, Joan Fàbrega +4
Mathematics · #31C15 #32A37 #47B32 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Complex Variables (math.CV) #FOS: Mathematics #Spectral Theory in Mathematical Physics #math.CV #msc:31C15 #msc:32A37 #msc:47B32

paper · pdf · doi:10.48550/arxiv.1305.7350

arxiv created 2013/05/31 · openalex publication_date 2013/05/31 · arxiv updated 2016/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the action of some generalized integral operators of Bergman type on pointwise multipliers of holomorphic Triebel-Lizorkin spaces. We construct nontrivial examples of pointwise multipliers in Hardy-Sobolev spaces and give applications of all these results.

Related

• Spectral theory of multiplication operators on Hardy-Sobolev spaces
• Multipliers from Sobolev space H^\al_p into H^-\al_p
• Unified approach to spectral properties of multipliers
• Multipliers for Hardy-Orlicz spaces and applications
• Multiplier conditions for Boundedness into Hardy spaces