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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