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
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
Journal title :
Nonlinear Analysis Theory, Methods & Applications
