Riemann-Stieltjes operators on Hardy spaces in the unit ball of $\mathbb C^n$
Li, Songxiao ; Stević, Stevo
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 621-628 / Harvested from Project Euclid
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Let $g:B\to \mathbb C^1$ be a holomorphic map of the unit ball $B$. We study the integral operators $$ T_gf(z)=\int_0^1f(tz)\Re g(tz)\frac{dt}{t}; \ \ L_gf(z)= \int_0^1 \Re f(tz) g(tz)\frac{dt}{t},\qquad z\in B. $$ The boundedness and compactness of the operators $T_g$ and $L_g$ on the Hardy space $H^2$ in the unit ball are discussed in this paper.
Publié le : 2007-11-14
Classification:  Riemann-Stieltjes operator,  Hardy space,  BMOA space,  47B38,  32A35 
@article{1195157131,
     author = {Li, Songxiao and Stevi\'c, Stevo},
     title = {Riemann-Stieltjes operators on Hardy spaces in the unit ball of $\mathbb C^n$},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 621-628},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1195157131}
}

Li, Songxiao; Stević, Stevo. Riemann-Stieltjes operators on Hardy spaces in the unit ball of $\mathbb C^n$. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  621-628. http://gdmltest.u-ga.fr/item/1195157131/