Authors: Stević, Stevo 
Title: Weighted integrals for polyharmonic type functions
Journal: Houston Journal of Mathematics
Volume: 30
Issue: 2
First page: 511
Last page: 521
Issue Date: 1-Jan-2004
Rank: M23
ISSN: 0362-1588
Abstract: 
In this note we investigate the relationship between the integrals: ∫ B |D β u(x)| p |D γ u(x) | q ψ p|β|+q|γ| (x)ω(x)dV(x); ∫ B |u(x)| p+q ω(x)dV(x) where p, q > 0, β, γ are arbitrary multi-indices and ω is a standard admissible weight with distortion function ψ, for polyharmonic type functions u on the unit ball B.
Keywords: Bergman space | Distortion function | Maximal function | Polyharmonic type functions | Standard admissible weight
Publisher: Huston University

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