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Title: Weighted estimates for the Hankel-, $\underline{K}$- and $Y$- transformations (English)
Author: Emara, Salah A. A.
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 30
Issue: 1
Year: 1994
Pages: 29-43
Summary lang: English
Category: math
Summary: We give conditions on pairs of non-negative functions $u$ and $v$ which are sufficient that, for $0<q<p$, $p>1$ \[ \left[ \int _0^\infty |u(x)(Tf)(x)|^q\, dx\right]^{\frac{1}{q}} \le C\left[ \int _0^\infty |v(x)f(x)|^p\, dx\right]^{\frac{1}{p}}\,, \] where $T$ is the Hankel-, K-, or the Y-transformations. (English)
Keyword: weighted inequalities
Keyword: Hankel
Keyword: K- and Y-transformations
MSC: 26D10
MSC: 26D15
MSC: 42B10
MSC: 44A15
idZBL: Zbl 0808.44008
idMR: MR1282111
Date available: 2008-06-06T21:25:33Z
Last updated: 2012-05-10
Stable URL:
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