Lebesgue and Sobolev Spaces with Variable Exponents - Paperback

by Lars Diening (Author), Petteri Harjulehto (Author), Peter Hästö (Author)

This timely monograph collects all the basic properties of variable exponent Lebesgue and Sobolev spaces. It provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results have new and improved proofs.

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The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.