00000cmm a22000004a 4500 UP-99796217611212388 Buklod 20250118173336.0 m go j cr cn |||aaaaa 250118s2011 gw ||||go||j| ||||||engdd 9783642183638 (eBook) 3642183638 (eBook) 9783642183621 (iLib)UPD-00215704150 CSt DMLR rda eng DMLUC QA 323 L43 2011eb Lebesgue and Sobolev spaces with variable exponents Lars Diening ... [et al.]. Berlin Heidelberg New York Springer c2011 online resource (ix, 509 pages) text rdacontent computer rdamedia online resource rdacarrier Lecture Notes in Mathematics 2017 Includes bibliographical references and index 1 Introduction Part I Lebesgue Space 2 A framework for function spaces 3 Variable exponent Lebesgue spaces 4 The maximal operator 5 The generalized Muckenhoupt condition* 6 Classical operators 7 Transfer techniques Part II Sobolev spaces 8 Introduction to Sobolev spaces 9 Density of regular functions 10 Capacities 11 Fine properties of Sobolev functions 12 Other spaces of differentiable functions Part III 13 Dirichlet energy integral and Laplace equation 14 PDEs and fluid dynamics References List of symbols Index IP-based subscription, access limited to within on campus computer network Access via Electronic Resources of the UPD University Library Website 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 --Provided by publisher Electronic reproduction New York SpringerLink 2011 Available via World Wide Web through SpringerLink Function spaces. Diening, Lars author. Harjulehto, Petteri author. Hasto, Peter author. Ruzicka, Michael author. SpringerLink (Online service). http://link.springer.com/book/10.1007/978-3-642-18363-8 Available for University of the Philippines Diliman via SpringerLink. Click here to access FO UPD DMLR Electronic Resource