ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS
Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 55-70
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In this paper, we study Lp-boundedness properties for higher order Littlewood-Paley g-functions in the Bessel setting. We use the Calderón-Zygmund theory in a homogeneous-type space (in the sense of Coifman and Weiss) ((0, ∞), d, γα), where d represents the usual metric on (0, ∞) and γα denotes the doubling measure on (0, ∞) with respect to d defined by dγα(x) = x2α+1dx, with α > −1/2.
BETANCOR, J. J.; FARIÑA, J. C.; SANABRIA, A. ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS. Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 55-70. doi: 10.1017/S0017089508004539
@article{10_1017_S0017089508004539,
author = {BETANCOR, J. J. and FARI\~NA, J. C. and SANABRIA, A.},
title = {ON {LITTLEWOOD-PALEY} {FUNCTIONS} {ASSOCIATED} {WITH} {BESSEL} {OPERATORS}},
journal = {Glasgow mathematical journal},
pages = {55--70},
year = {2009},
volume = {51},
number = {1},
doi = {10.1017/S0017089508004539},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004539/}
}
TY - JOUR AU - BETANCOR, J. J. AU - FARIÑA, J. C. AU - SANABRIA, A. TI - ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS JO - Glasgow mathematical journal PY - 2009 SP - 55 EP - 70 VL - 51 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004539/ DO - 10.1017/S0017089508004539 ID - 10_1017_S0017089508004539 ER -
%0 Journal Article %A BETANCOR, J. J. %A FARIÑA, J. C. %A SANABRIA, A. %T ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS %J Glasgow mathematical journal %D 2009 %P 55-70 %V 51 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004539/ %R 10.1017/S0017089508004539 %F 10_1017_S0017089508004539
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