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Sobolev Spaces

Overview of attention for book
Cover of 'Sobolev Spaces'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Basic Properties of Sobolev Spaces
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    Chapter 3 Inequalities for Gradients of Functions that Vanish on the Boundary
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    Chapter 4 On Summability of Functions in the Space L 1 1 ( Ω )
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    Chapter 5 On Summability of Functions in the Space L p 1 ( Ω )
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    Chapter 6 On Continuity and Boundedness of Functions in Sobolev Spaces
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    Chapter 7 On Functions in the Space B V(Ω)
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    Chapter 8 Certain Function Spaces, Capacities and Potentials
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    Chapter 9 On Summability with Respect to an Arbitrary Measure of Functions with Fractional Derivatives
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    Chapter 10 A Variant of Capacity
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    Chapter 11 An Integral Inequality for Functions on a Cube
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    Chapter 12 Imbedding of the Space into Other Function Spaces
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    Chapter 13 The Imbedding
Attention for Chapter 9: On Summability with Respect to an Arbitrary Measure of Functions with Fractional Derivatives
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