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On a general principle and its application to superposition operators in Orlicz spaces

โœ Scribed by Gottfried Bruckner

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
627 KB
Volume
104
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

On a general principle and its application to superposition operators in ORLICZ spaces By GOTTFRJED BRUCKNER of Berlin (Eingegangen am 28. I . 198 1) A general local-global conclusion principle for a class of function spaces is presented. E.g., superposition operators in .&-spaces that have a property like boundedness, continuity, uniform continuity, Hijlder continuity, monotonicity, uniform monotonicity on a fixed ball, can be shown by this principle to have the same property on every other ball. Besides, the method also gives quantitative assertions such as estimates for the bound, the continuit,y modulus, the H ~L D E R constant, and so on.

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