Essential norms of weighted composition operators between Hardy spaces H^p and H^q for 1≤ p,q ≤ ∞

2011/01/23 by Romain Demazeux, Demazeux, Romain
Mathematics · #46E15 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 47B33 #Secondary 30H10 #math.FA #msc:30H10 #msc:46E15 #msc:47B33

paper · pdf · doi:10.48550/arxiv.1101.4365

16 pages

openalex publication_date 2011/01/23 · arxiv created 2011/10/22 · arxiv updated 2011/10/25 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We complete the different cases remaining in the estimation of the essential norm of a weighted composition operator acting between the Hardy spaces H^p and H^q for 1≤ p,q≤∞. In particular we give some estimates for the cases 1=p≤ q≤∞ and 1≤ q<p≤∞.

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