An Introductory Course in Lebesgue Spaces

An Introductory Course in Lebesgue Spaces
By:"Rene Erlin Castillo","Humberto Rafeiro"
Published on 2016-06-23 by Springer

E-book Library:"Mathematics"

This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.

This Book was ranked 9 by Google Books for keyword exponent cms.

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Integral Operators in Non-Standard Function Spaces

Integral Operators in Non-Standard Function Spaces
By:"Vakhtang Kokilashvili","Alexander Meskhi","Humberto Rafeiro","Stefan Samko"
Published on 2016-05-11 by Birkhäuser

E-book Library:"Mathematics"

This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.

This Book was ranked 25 by Google Books for keyword exponent cms.

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Convex Analysis and Monotone Operator Theory in Hilbert Spaces

Convex Analysis and Monotone Operator Theory in Hilbert Spaces
By:"Heinz H. Bauschke","Patrick L. Combettes"
Published on 2011-04-19 by Springer Science & Business Media

E-book Library"Mathematics"

This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A concise exposition of related constructive fixed point theory is presented, that allows for a wide range of algorithms to construct solutions to problems in optimization, equilibrium theory, monotone inclusions, variational inequalities, best approximation theory, and convex feasibility. The book is accessible to a broad audience, and reaches out in particular to applied scientists and engineers, to whom these tools have become indispensable.

This Book was ranked 13 by Google Books for keyword cms made simple.

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