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Lebesgue and Sobolev Spaces with Variable Exponents

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Cover of 'Lebesgue and Sobolev Spaces with Variable Exponents'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 A Framework for Function Spaces
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    Chapter 3 Variable Exponent Lebesgue Spaces
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    Chapter 4 The Maximal Operator
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    Chapter 5 The Generalized Muckenhoupt Condition *
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    Chapter 6 Classical Operators
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    Chapter 7 Transfer Techniques
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    Chapter 8 Introduction to Sobolev Spaces
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    Chapter 9 Density of Regular Functions
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    Chapter 10 Capacities
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    Chapter 11 Fine Properties of Sobolev Functions
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    Chapter 12 Other Spaces of Differentiable Functions
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    Chapter 13 Dirichlet Energy Integral and Laplace Equation
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    Chapter 14 PDEs and Fluid Dynamics
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