@article{CM_1994__93_1_23_0, author = {Camera, G. A. and Gimenez, J.}, title = {The nonlinear superposition operator acting on {Bergman} spaces}, journal = {Compositio Mathematica}, pages = {23--35}, publisher = {Kluwer Academic Publishers}, volume = {93}, number = {1}, year = {1994}, mrnumber = {1286796}, zbl = {0806.47060}, language = {en}, url = {http://www.numdam.org/item/CM_1994__93_1_23_0/} }
TY - JOUR AU - Camera, G. A. AU - Gimenez, J. TI - The nonlinear superposition operator acting on Bergman spaces JO - Compositio Mathematica PY - 1994 SP - 23 EP - 35 VL - 93 IS - 1 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1994__93_1_23_0/ LA - en ID - CM_1994__93_1_23_0 ER -
Camera, G. A.; Gimenez, J. The nonlinear superposition operator acting on Bergman spaces. Compositio Mathematica, Tome 93 (1994) no. 1, pp. 23-35. http://www.numdam.org/item/CM_1994__93_1_23_0/
1 Nonlinear Superposition Operators. Cambridge University Press, 1990. | MR | Zbl
, :2 The autonomous nonlinear superposition operator in Hp (to appear).
:3 On entire functions acting via nonlinear superposition on Nevanlinna functions (to appear). | MR
:4 Theory of Hp Spaces. Academic Press, New York, 1970. | MR | Zbl
:5 Some properties of fractional integrals. II. Math. Z. 34 (1932) 403-439. | JFM | MR | Zbl
and :6 On the continuity of the operator Fu(x) = f(x, u(x)) (Russian). Doklady Akad. Nauk SSSR 77(2) (1951) 185-188. | MR | Zbl
:7 Every superposition operator mapping one Sobolev space into another is continuous. J. Funct. Anal. 33 (1979) 217-229. | MR | Zbl
and :