Riemann-Stieltjes operators between different weighted Bergman spaces
Li, Songxiao ; Stević, Stevo
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 677-686 / 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 give a complete picture regarding the boundedness and compactness of the following two integral operators $$ T_gf(z)=\int_0^1f(tz)\Re g(tz)\frac{dt}{t}\text{ and } L_gf(z)= \int_0^1 \Re f(tz) g(tz)\frac{dt}{t},\quad z\in B, $$ between different weighted Bergman spaces.
Publié le : 2008-05-15
Classification:  Riemann-Stieltjes operator,  Bergman space,  boundedness,  compactness,  47B38,  30H05 
@article{1225893947,
     author = {Li, Songxiao and Stevi\'c, Stevo},
     title = {Riemann-Stieltjes operators between different weighted Bergman spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 677-686},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225893947}
}

Li, Songxiao; Stević, Stevo. Riemann-Stieltjes operators between different weighted Bergman spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  677-686. http://gdmltest.u-ga.fr/item/1225893947/