Orlicz Spaces and Generalized Orlicz Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orlicz Spaces and Generalized Orlicz Spaces write by Petteri Harjulehto. This book was released on 2019-05-07. Orlicz Spaces and Generalized Orlicz Spaces available in PDF, EPUB and Kindle. 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.
Generalized Orlicz Spaces and Related PDE.
Generalized Orlicz Spaces and Related PDE. - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalized Orlicz Spaces and Related PDE. write by . This book was released on 2016. Generalized Orlicz Spaces and Related PDE. available in PDF, EPUB and Kindle.
Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces write by Iwona Chlebicka. This book was released on 2021. Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces available in PDF, EPUB and Kindle. This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak-Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for an extended functional analytic framework. This theory is established in the first part of the book, which serves as an introduction to the subject, but is also an important ingredient of the whole story. The second part uses these theoretical tools for various types of PDEs, including abstract and parabolic equations but also PDEs arising from fluid and solid mechanics. For connoisseurs, there is a short chapter on homogenization of elliptic PDEs. The book will be of interest to researchers working in PDEs and in functional analysis.
Orlicz Spaces and Modular Spaces
Orlicz Spaces and Modular Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orlicz Spaces and Modular Spaces write by J. Musielak. This book was released on 2006-11-14. Orlicz Spaces and Modular Spaces available in PDF, EPUB and Kindle.
Maximal Function on Musiełak Orlicz Spaces and Generalized Lebesgue Spaces
Maximal Function on Musiełak Orlicz Spaces and Generalized Lebesgue Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Maximal Function on Musiełak Orlicz Spaces and Generalized Lebesgue Spaces write by Lars Diening. This book was released on 2003. Maximal Function on Musiełak Orlicz Spaces and Generalized Lebesgue Spaces available in PDF, EPUB and Kindle.
