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Lpestimates for the uniform norm of solutions of quasilinear SPDE's

✍ Scribed by Laurent Denis; Anis Matoussi; Lucretiu Stoica

Book ID
106137665
Publisher
Springer
Year
2005
Tongue
English
Weight
275 KB
Volume
133
Category
Article
ISSN
1432-2064

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## Abstract Let β€– Β· β€– denote the uniform norm in the unit disk of the complex plane β„‚. The main result in this note is as follows: __For any complex polynomial P of degree at most n and any Ξ±__ ∈ β„‚ __the inequality__ β€–__P__ β€– β©½ (__n__ + 1)(β€–__z P__ (__z__) + __Ξ±__ β€– ‐ |__Ξ±__ |) __holds.__ For any