Technical Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation (0387970177)

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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation (Springer Compass International)

The major thrust of this book is the analysis of pointwise behavior of Sobolev functions of integer order and BV functions (functions whose partial derivatives are measures with finite total variation). The development of Sobolev functions includes an analysis of their continuity properties in terms of Lebesgue points, approximate continuity, and fine continuity as well as a discussion of their higher order regularity properties in terms of Lp-derivatives. This provides the foundation for further results such as a strong approximation theorem and the comparison of Lp and distributional derivatives. Also included is a treatment of Sobolev-Poincar& 233; type inequalities which unifies virtually all inequalities of this type. Although the techniques required for the discussion of BV functions are completely different from those required for Sobolev functions, there are similarities between their developments such as a unifying treatment of Poincar& 233;-type inequalities for BV functions. This book is intended for graduate students and researchers whose interests may include aspects of approximation theory, the calculus of variations, partial differential equations, potential theory and related areas. The only prerequisite is a standard graduate course in real analysis since almost all of the material is accessible through real variable techniques.

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	Science/Engineering Bounded Analytic Functions John B. Garnett, «Bounded Analytic Functions (Graduate Texts in Mathematics)»Springer \| ISBN: 0387336214 \| 1 edition (October 17, 2006) \| 466 pages \| PDF \| 2.3 Mb "This book is an account of the theory of Hardy spaces in one dimension, wi ...
	Science/Engineering Functions of a-Bounded Type in the Half-Plane A. M. Jerbashian,?Functions of a-Bounded Type in the Half-Plane ?Advances in Complex Analysis and Its ApplicationsSpringer \| ISBN: 0387236252 \| (Januray 10 , 2005) \| 196 pages \| PDF \| 7 MB“This is a unique book related to the theor ...
	William P. Ziemer - Weakly Differentiable Functions William P. Ziemer, "Weakly Differentiable Functions"Springer-Verlag \| ISBN 0387970177 \| Year 1989 \| 332 pages \| DjVu \| 3.3 MB The major thrust of this book is the analysis of pointwise behavior of Sobolev functions of integer order and BV f ...
	Science/Engineering An elementary treatise on Laplace's functions, Lame's functions, and Bessel's functions: I. Todhunter An elementary treatise on Laplace's functions, Lame's functions, and Bessel's functions: I. Todhunter Macmillan & Co \| ISBN: 0559446225 \| 1875-01-01 \| djvu (ocr) \| 348 pages \| 4.09 Mb From the Introduction:The mathematical expressions to w ...
	Study Bounded Analytic Functions (repost) John B. Garnett "Bounded Analytic Functions"Springer \| 2006-10-17 \| ISBN: 0387336214 \| 466 pages \| PDF \| 2,2 MB"This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of th ...
	Science/Engineering Functions of Bounded Variation and Free Discontinuity Problems Luigi Ambrosio, Nicola Fusco, Diego Pallara, "Functions of Bounded Variation and Free Discontinuity Problems" Oxford University Press, USA \| 2000 \| ISBN: 0198502451 \| 456 pages \| Djvu \| 20,7 MB This book deals with a class of mathemati ...

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	Science/Engineering Bounded Analytic Functions John B. Garnett, «Bounded Analytic Functions (Graduate Texts in Mathematics)»Springer \| ISBN: 0387336214 \| 1 edition (October 17, 2006) \| 466 pages \| PDF \| 2.3 Mb "This book is an account of the theory of Hardy spaces in one dimension, wi ...
	Science/Engineering Functions of a-Bounded Type in the Half-Plane A. M. Jerbashian,?Functions of a-Bounded Type in the Half-Plane ?Advances in Complex Analysis and Its ApplicationsSpringer \| ISBN: 0387236252 \| (Januray 10 , 2005) \| 196 pages \| PDF \| 7 MB“This is a unique book related to the theor ...
	William P. Ziemer - Weakly Differentiable Functions William P. Ziemer, "Weakly Differentiable Functions"Springer-Verlag \| ISBN 0387970177 \| Year 1989 \| 332 pages \| DjVu \| 3.3 MB The major thrust of this book is the analysis of pointwise behavior of Sobolev functions of integer order and BV f ...
	Science/Engineering An elementary treatise on Laplace's functions, Lame's functions, and Bessel's functions: I. Todhunter An elementary treatise on Laplace's functions, Lame's functions, and Bessel's functions: I. Todhunter Macmillan & Co \| ISBN: 0559446225 \| 1875-01-01 \| djvu (ocr) \| 348 pages \| 4.09 Mb From the Introduction:The mathematical expressions to w ...
	Study Bounded Analytic Functions (repost) John B. Garnett "Bounded Analytic Functions"Springer \| 2006-10-17 \| ISBN: 0387336214 \| 466 pages \| PDF \| 2,2 MB"This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of th ...
	Science/Engineering Functions of Bounded Variation and Free Discontinuity Problems Luigi Ambrosio, Nicola Fusco, Diego Pallara, "Functions of Bounded Variation and Free Discontinuity Problems" Oxford University Press, USA \| 2000 \| ISBN: 0198502451 \| 456 pages \| Djvu \| 20,7 MB This book deals with a class of mathemati ...

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