The nonlinear superposition operator acting on Bergman spaces
Compositio Mathematica (1994)
- Volume: 93, Issue: 1, page 23-35
- ISSN: 0010-437X
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topCamera, G. A., and Gimenez, J.. "The nonlinear superposition operator acting on Bergman spaces." Compositio Mathematica 93.1 (1994): 23-35. <http://eudml.org/doc/90312>.
@article{Camera1994,
author = {Camera, G. A., Gimenez, J.},
journal = {Compositio Mathematica},
keywords = {nonlinear autonomous Nemytskij operator; Bergman spaces; Bergman- Nevanlinna spaces},
language = {eng},
number = {1},
pages = {23-35},
publisher = {Kluwer Academic Publishers},
title = {The nonlinear superposition operator acting on Bergman spaces},
url = {http://eudml.org/doc/90312},
volume = {93},
year = {1994},
}
TY - JOUR
AU - Camera, G. A.
AU - Gimenez, J.
TI - The nonlinear superposition operator acting on Bergman spaces
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 93
IS - 1
SP - 23
EP - 35
LA - eng
KW - nonlinear autonomous Nemytskij operator; Bergman spaces; Bergman- Nevanlinna spaces
UR - http://eudml.org/doc/90312
ER -
References
top- 1 Appel, J., Zabrejko, P.P.: Nonlinear Superposition Operators. Cambridge University Press, 1990. Zbl0701.47041MR1066204
- 2 Cámera, G.A.: The autonomous nonlinear superposition operator in Hp (to appear).
- 3 Cámera, G.A.: On entire functions acting via nonlinear superposition on Nevanlinna functions (to appear). Zbl0841.30023MR1246861
- 4 Duren, P.: Theory of Hp Spaces. Academic Press, New York, 1970. Zbl0215.20203MR268655
- 5 Hardy, G.H. and Littlewood, J.E.: Some properties of fractional integrals. II. Math. Z.34 (1932) 403-439. Zbl0003.15601MR1545260JFM57.0476.01
- 6 Krasnosel'skij, M.A.: On the continuity of the operator Fu(x) = f(x, u(x)) (Russian). Doklady Akad. Nauk SSSR77(2) (1951) 185-188. Zbl0042.12101MR41354
- 7 Marcus, M. and Mizel, V.J.: Every superposition operator mapping one Sobolev space into another is continuous. J. Funct. Anal.33 (1979) 217-229. Zbl0418.46024MR546508
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