On the interpolation space (Lp(Ω),W1,p(Ω))s,p in non-smooth domains

We show that, for certain non-smooth bounded domains Ω⊂Rn, the real interpolation space (Lp(Ω),W1,p(Ω))s,p is the subspace W˜s,p(Ω)⊂Lp(Ω) induced by the restricted fractional seminorm |f|W˜s,p(Ω)=(∫Ω∫|x−y|<%[Formula presented]dydx)[Formula presented]. © 2018 Elsevier Inc.

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Detalles Bibliográficos
Autores principales: Drelichman, I., Durán, R.G.
Formato: JOUR
Materias:
Fractional Sobolev spaces
Irregular domains
John domains
Real interpolation
Uniform domains
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v470_n1_p91_Drelichman
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We show that, for certain non-smooth bounded domains Ω⊂Rn, the real interpolation space (Lp(Ω),W1,p(Ω))s,p is the subspace W˜s,p(Ω)⊂Lp(Ω) induced by the restricted fractional seminorm |f|W˜s,p(Ω)=(∫Ω∫|x−y|<%[Formula presented]dydx)[Formula presented]. © 2018 Elsevier Inc.

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