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An Introduction to Sobolev Spaces and Interpolation Space

Luc Tartar

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Analysis; Partial Differential Equations; Functional Analysis

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2007 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-3-540-71482-8

ISBN electrónico

978-3-540-71483-5

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer-Verlag Berlin Heidelberg 2007

Cobertura temática

Tabla de contenidos

Background on Interpolation; the Complex Method

Palabras clave: Normed Space; Topological Vector Space; Polation Space; Interpolation Space; Interpolation Property.

Pp. 103-107

Real Interpolation; K-Method

Pp. 109-113

Interpolation of L^2 Spaces with Weights

Palabras clave: Fourier Transform; Sobolev Space; Steklov Institute; Russian Mathematician; Besov Space.

Pp. 115-118

Real Interpolation; J-Method

Palabras clave: Partial Differential Equation; General Framework; Important Observation; Dual Space; Interpolation Method.

Pp. 119-122

Interpolation Inequalities, the Spaces (E_0, E_1)_θ,1

Pp. 123-125

The Lions–Peetre Reiteration Theorem

Pp. 127-129

Maximal Functions

Palabras clave: Linear Interpolation; Precise Estimate; Interpolation Method; Triangle Inequality; Maximal Function.

Pp. 131-135

Bilinear and Nonlinear Interpolation

Palabras clave: Partial Differential Equation; Linear Operator; Variational Inequality; Additional Assumption; Linear Case.

Pp. 137-140

Obtaining L^ p by Interpolation, with the Exact Norm

Palabras clave: Linear Mapping; Partial Differential Equation; Functional Analysis; Positive Constant; Interpolation Method.

Pp. 141-143

My Approach to Sobolev's Embedding Theorem

Pp. 145-147