Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 62, Number 4 (2010), 1219-1255.
The reproducing formula with fractional orders on the parabolic Bloch space
Abstract
In this paper, we study the reproducing formula with fractional orders on the parabolic Bloch space. As an application of the reproducing formula, we characterize the dual and pre-dual spaces of parabolic Bergman spaces. Furthermore, we generalize the integral pairing, which gives the duality between the parabolic Bloch space and the parabolic Bergman space.
Article information
Source
J. Math. Soc. Japan, Volume 62, Number 4 (2010), 1219-1255.
Dates
First available in Project Euclid: 2 November 2010
Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1288703103
Digital Object Identifier
doi:10.2969/jmsj/06241219
Mathematical Reviews number (MathSciNet)
MR2761895
Zentralblatt MATH identifier
1213.35399
Subjects
Primary: 35K05: Heat equation
Secondary: 26A33: Fractional derivatives and integrals 26D10: Inequalities involving derivatives and differential and integral operators
Keywords
parabolic operator of fractional order Bloch space reproducing formula
Citation
HISHIKAWA, Yôsuke. The reproducing formula with fractional orders on the parabolic Bloch space. J. Math. Soc. Japan 62 (2010), no. 4, 1219--1255. doi:10.2969/jmsj/06241219. https://projecteuclid.org/euclid.jmsj/1288703103