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| Author | : Toni Heikkinen |
| Publisher | : |
| Total Pages | : 11 |
| Release | : 2006 |
| Genre | : |
| ISBN | : |
| Author | : Petteri Harjulehto |
| Publisher | : Springer |
| Total Pages | : 169 |
| Release | : 2019-05-07 |
| Genre | : Mathematics |
| ISBN | : 303015100X |
This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, for example, the boundedness of Calderón–Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincaré and Sobolev–Poincaré inequalities in norm and modular forms. Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.
| Author | : Heli Tuominen |
| Publisher | : |
| Total Pages | : 96 |
| Release | : 2004 |
| Genre | : Functional equations |
| ISBN | : |
| Author | : Vladimir Maz'ya |
| Publisher | : Springer |
| Total Pages | : 506 |
| Release | : 2013-12-21 |
| Genre | : Mathematics |
| ISBN | : 3662099225 |
The Sobolev spaces, i. e. the classes of functions with derivatives in L , occupy p an outstanding place in analysis. During the last two decades a substantial contribution to the study of these spaces has been made; so now solutions to many important problems connected with them are known. In the present monograph we consider various aspects of Sobolev space theory. Attention is paid mainly to the so called imbedding theorems. Such theorems, originally established by S. L. Sobolev in the 1930s, proved to be a useful tool in functional analysis and in the theory of linear and nonlinear par tial differential equations. We list some questions considered in this book. 1. What are the requirements on the measure f1, for the inequality q
| Author | : Robert A. Adams |
| Publisher | : Elsevier |
| Total Pages | : 321 |
| Release | : 2003-06-26 |
| Genre | : Mathematics |
| ISBN | : 0080541291 |
Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences. This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike. Self-contained and accessible for readers in other disciplines Written at elementary level making it accessible to graduate students
| Author | : |
| Publisher | : |
| Total Pages | : 101 |
| Release | : 2000 |
| Genre | : |
| ISBN | : |
| Author | : Toni Heikkinen |
| Publisher | : |
| Total Pages | : 23 |
| Release | : 2006 |
| Genre | : |
| ISBN | : |
| Author | : Juha Heinonen |
| Publisher | : Cambridge University Press |
| Total Pages | : 447 |
| Release | : 2015-02-05 |
| Genre | : Mathematics |
| ISBN | : 1107092345 |
This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.
| Author | : Toni Heikkinen |
| Publisher | : |
| Total Pages | : 17 |
| Release | : 2006 |
| Genre | : |
| ISBN | : |
