Geodesic
Conjugacy for Fourier–Bessel expansions
Óscar Ciaurri1 ; Krzysztof Stempak2
1 Departamento de Matemáticas y Computación Universidad de La Rioja Edificio J. L. Vives, Calle Luis de Ulloa s//n 26004 Logroño, Spain
2 Instytut Matematyki i Informatyki Politechnika Wroc/lawska Wybrzeże Wyspiańskiego 27 50-370 Wroc/law, Poland
Studia Mathematica, Tome 176 (2006) no. 3, pp. 215-247 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $A_p$ weights. Also results on Poisson and conjugate Poisson integrals are furnished for the expansions considered. Finally, an alternative conjugate operator is discussed.
DOI : 10.4064/sm176-3-3
Keywords: define investigate conjugate operator fourier bessel expansions weighted norm weak type inequalities proved operator using local version calder zygmund theory weights cases general weights results poisson conjugate poisson integrals furnished expansions considered finally alternative conjugate operator discussed

Óscar Ciaurri 1 ; Krzysztof Stempak 2

1 Departamento de Matemáticas y Computación Universidad de La Rioja Edificio J. L. Vives, Calle Luis de Ulloa s//n 26004 Logroño, Spain
2 Instytut Matematyki i Informatyki Politechnika Wroc/lawska Wybrzeże Wyspiańskiego 27 50-370 Wroc/law, Poland 
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Óscar Ciaurri; Krzysztof Stempak. Conjugacy for Fourier–Bessel expansions. Studia Mathematica, Tome 176 (2006) no. 3, pp. 215-247. doi: 10.4064/sm176-3-3

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