Conjugacy for Fourier-Bessel expansions
Studia Mathematica, Tome 176 (2006) no. 3, p. 215.

Voir la notice de l'article dans European Digital Mathematics Library

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.
Classification : 44A20, 42C10, 33C10
Mots-clés : Fourier-Bessel expansions, conjugate operator, weighted norm inequalities, weights, conjugate Poisson integrals
@article{STUMA_2006__176_3_284474,
     author = {\'Oscar Ciaurri and Krzysztof Stempak},
     title = {Conjugacy for {Fourier-Bessel} expansions},
     journal = {Studia Mathematica},
     pages = {215},
     publisher = {mathdoc},
     volume = {176},
     number = {3},
     year = {2006},
     zbl = {1125.42013},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_3_284474/}
}
TY  - JOUR
AU  - Óscar Ciaurri
AU  - Krzysztof Stempak
TI  - Conjugacy for Fourier-Bessel expansions
JO  - Studia Mathematica
PY  - 2006
SP  - 215
VL  - 176
IS  - 3
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_3_284474/
LA  - en
ID  - STUMA_2006__176_3_284474
ER  - 
%0 Journal Article
%A Óscar Ciaurri
%A Krzysztof Stempak
%T Conjugacy for Fourier-Bessel expansions
%J Studia Mathematica
%D 2006
%P 215
%V 176
%N 3
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_3_284474/
%G en
%F STUMA_2006__176_3_284474
Óscar Ciaurri; Krzysztof Stempak. Conjugacy for Fourier-Bessel expansions. Studia Mathematica, Tome 176 (2006) no. 3, p. 215. https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_3_284474/