Title of article
Locally defined operators in Hölder’s spaces Original Research Article
Author/Authors
Ma?gorzata Wr?bel، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
7
From page
317
To page
323
Abstract
We prove that every local operator acting between two Hölder spaces HϕHϕ and HψHψ is a Nemytskij operator and if Hϕ⊈HψHϕ⊈Hψ then it is a constant map. Moreover, we show that if KK is local and uniformly continuous then it is an affine mapping.
Keywords
Local (locally defined) operator , Nemytskij (superposition) operator , H?lder space , Uniformly continuous operator , Bounded operator
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862854
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