TY - JOUR
T1 - Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
AU - Almeida, Alexandre
AU - Rafeiro, Humberto
N1 - Funding Information:
The authors would like to thank Professor S. Samko for some remarks to the paper. The first author is also grateful to Unidade de Investigação “Matemática e Aplicações” of University of Aveiro for partial support. The second named author also acknowledges the financial support by Fundação para a Ciência e Tecnologia (FCT) (Grant No. SFRH/BD/22977/2005), through Programa Operacional Ciência e Inovação 2010 (POCI2010) of the Portuguese Government, co-financed by the European Community Fund FSE.
Funding Information:
Research supported by INTAS Grant No. 06-1000017-8792 through the project Variable Exponent Analysis. Corresponding author. E-mail addresses: [email protected] (A. Almeida), [email protected] (H. Rafeiro).
PY - 2008/4/15
Y1 - 2008/4/15
N2 - We study the inversion problem of the Bessel potential operator within the frameworks of the weighted Lebesgue spaces with variable exponent. The inverse operator is constructed by using approximative inverse operators. This generalizes some classical results to the variable exponent setting.
AB - We study the inversion problem of the Bessel potential operator within the frameworks of the weighted Lebesgue spaces with variable exponent. The inverse operator is constructed by using approximative inverse operators. This generalizes some classical results to the variable exponent setting.
KW - Approximative inverse operators
KW - Bessel potentials
KW - Variable exponent
KW - Weighted spaces
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U2 - 10.1016/j.jmaa.2007.09.064
DO - 10.1016/j.jmaa.2007.09.064
M3 - Article
AN - SCOPUS:38049095039
SN - 0022-247X
VL - 340
SP - 1336
EP - 1346
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -