Conjugacy for Fourier-Bessel expansions

Óscar Ciaurri, and Krzysztof Stempak. "Conjugacy for Fourier-Bessel expansions." Studia Mathematica 176.3 (2006): 215-247. <http://eudml.org/doc/284474>.

@article{ÓscarCiaurri2006,
abstract = {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.},
author = {Óscar Ciaurri, Krzysztof Stempak},
journal = {Studia Mathematica},
keywords = {Fourier-Bessel expansions; conjugate operator; weighted norm inequalities; weights; conjugate Poisson integrals},
language = {eng},
number = {3},
pages = {215-247},
title = {Conjugacy for Fourier-Bessel expansions},
url = {http://eudml.org/doc/284474},
volume = {176},
year = {2006},
}

TY - JOUR
AU - Óscar Ciaurri
AU - Krzysztof Stempak
TI - Conjugacy for Fourier-Bessel expansions
JO - Studia Mathematica
PY - 2006
VL - 176
IS - 3
SP - 215
EP - 247
AB - 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.
LA - eng
KW - Fourier-Bessel expansions; conjugate operator; weighted norm inequalities; weights; conjugate Poisson integrals
UR - http://eudml.org/doc/284474
ER -