2014/01/20 by Marijan Marković, Marijan Markovic, Markovic, Marijan
Mathematics · #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory #Primary 32A35 #Secondary 32A36 #math.CV #msc:32A35 #msc:32A36
paper · pdf · doi:10.48550/arxiv.1401.5120
to appear in Journal of Functional Analysis
openalex publication_date 2014/01/20 · arxiv created 2015/01/23 · arxiv updated 2015/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by some results due to Burbea we prove that if a certain sharp integral inequality holds for functions in the unit polydisc which belong to concrete Hardy spaces, then it also holds, in an appropriate form, in the case of functions from arbitrary Hardy spaces. We also examine the equality case. We present an application of this main result to a Burbea inequality which includes an isoperimetric type inequality as a special case.