Commutators and Analytic Dependence of Fourier-Bessel Series on (0, ∞)
Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 198-208
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In this paper we study the boundedness of the commutators $[b,\,{{S}_{n}}]$ where $b$ is a $\text{BMO}$ function and ${{S}_{n}}$ denotes the $n$ -th partial sum of the Fourier-Bessel series on $(0,\,\infty )$ . Perturbing the measure by $\text{exp(}2\text{b)}$ we obtain that certain operators related to ${{S}_{n}}$ depend analytically on the functional parameter $b$ .
Guadalupe, José J.; Pérez, Mario; Varona, Juan L. Commutators and Analytic Dependence of Fourier-Bessel Series on (0, ∞). Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 198-208. doi: 10.4153/CMB-1999-024-1
@article{10_4153_CMB_1999_024_1,
author = {Guadalupe, Jos\'e J. and P\'erez, Mario and Varona, Juan L.},
title = {Commutators and {Analytic} {Dependence} of {Fourier-Bessel} {Series} on (0, \ensuremath{\infty})},
journal = {Canadian mathematical bulletin},
pages = {198--208},
year = {1999},
volume = {42},
number = {2},
doi = {10.4153/CMB-1999-024-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-024-1/}
}
TY - JOUR AU - Guadalupe, José J. AU - Pérez, Mario AU - Varona, Juan L. TI - Commutators and Analytic Dependence of Fourier-Bessel Series on (0, ∞) JO - Canadian mathematical bulletin PY - 1999 SP - 198 EP - 208 VL - 42 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-024-1/ DO - 10.4153/CMB-1999-024-1 ID - 10_4153_CMB_1999_024_1 ER -
%0 Journal Article %A Guadalupe, José J. %A Pérez, Mario %A Varona, Juan L. %T Commutators and Analytic Dependence of Fourier-Bessel Series on (0, ∞) %J Canadian mathematical bulletin %D 1999 %P 198-208 %V 42 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-024-1/ %R 10.4153/CMB-1999-024-1 %F 10_4153_CMB_1999_024_1
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