Conjugacy for Fourier-Bessel expansions
Óscar Ciaurri ; Krzysztof Stempak
Studia Mathematica, Tome 173 (2006), p. 215-247 / Harvested from The Polish Digital Mathematics Library
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We define and investigate the conjugate operator for Fourier-Bessel expansions. Weighted norm and weak type (1,1) inequalities are proved for this operator by using a local version of the Calderón-Zygmund theory, with weights in most cases more general than Ap weights. Also results on Poisson and conjugate Poisson integrals are furnished for the expansions considered. Finally, an alternative conjugate operator is discussed.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284474 
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Óscar Ciaurri; Krzysztof Stempak. Conjugacy for Fourier-Bessel expansions. Studia Mathematica, Tome 173 (2006) pp. 215-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-3-3/