Toeplitz operators and Carleson measures on parabolic Bergman spaces
NISHIO, Masaharu ; SUZUKI, Noriaki ; YAMADA, Masahiro
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 563-583 / Harvested from Project Euclid
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Let $\boldsymbol b^p_\alpha$ be the parabolic Bergman space, which is the Banach space of all $L^p$-solutions of the parabolic equation $(\partial/\partial t + (-\Delta)^{\alpha})u = 0$ on the upper half space $\boldsymbol R^{n+1}_+$ with $0 < \alpha \leq 1$. We discuss the relation of Toeplitz operators to Carleson measures.
Publié le : 2007-08-15
Classification:  Carleson measure,  Toeplitz operator,  heat equation,  parabolic operator of fractional order,  Bergman space,  35K05,  31B10,  26D10 
@article{1277472867,
     author = {NISHIO, Masaharu and SUZUKI, Noriaki and YAMADA, Masahiro},
     title = {Toeplitz operators and Carleson measures on parabolic Bergman spaces},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 563-583},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277472867}
}

NISHIO, Masaharu; SUZUKI, Noriaki; YAMADA, Masahiro. Toeplitz operators and Carleson measures on parabolic Bergman spaces. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  563-583. http://gdmltest.u-ga.fr/item/1277472867/