The reproducing formula with fractional orders on the parabolic Bloch space
HISHIKAWA, Yôsuke
J. Math. Soc. Japan, Tome 62 (2010) no. 1, p. 1219-1255 / Harvested from Project Euclid
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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.
Publié le : 2010-10-15
Classification:  parabolic operator of fractional order,  Bloch space,  reproducing formula,  35K05,  26A33,  26D10 
@article{1288703103,
     author = {HISHIKAWA, Y\^osuke},
     title = {The reproducing formula with fractional orders on the parabolic Bloch space},
     journal = {J. Math. Soc. Japan},
     volume = {62},
     number = {1},
     year = {2010},
     pages = { 1219-1255},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1288703103}
}

HISHIKAWA, Yôsuke. The reproducing formula with fractional orders on the parabolic Bloch space. J. Math. Soc. Japan, Tome 62 (2010) no. 1, pp.  1219-1255. http://gdmltest.u-ga.fr/item/1288703103/