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
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/} }
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/