[PDF] Type Spaces eBook

Author : Ravi P. Agarwal
Publisher : Springer
Page : 395 pages
File Size : 25,49 MB
Release : 2016-03-24
Category : Mathematics
ISBN : 331924082X

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Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.

Author : Peter Burnhill
Publisher : Hyphen Press
Page : 148 pages
File Size : 28,54 MB
Release : 2003
Category : Design
ISBN :

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Type Spaces examines pages of books printed and published by Aldus Manutius in Venice around 1500. By measuring the word-spaces, author Peter Burnhill discerns a system of measurement at work and comes up with the surprising suggestion that this printing shows a unified system of dimensions: of type size, of "leading" or line-increment, of line length, and of text area. He argues that the exceptional figures of Manutius and his punchcutter, Francesco Griffo, used a set of "in-house norms." This system of unified measurement has a rationality that can apply to any process of type design, in any age, and with any system of production, making the book relevant even for contemporary designers. Since the passing of metal type, we have had no clear method of measuring type size and Burnhill's work suggests a new (or very old) approach to measurement in typography.

Author : Basheer Graphic Books
Publisher : Basheer Grahics
Page : 259 pages
File Size : 12,82 MB
Release : 2013
Category : Design
ISBN : 9789810773830

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"Type Spaces explores how we interact with and interpret typography when it is no longer restricted to print or screen. Gathered here are examples of typography fused with architecture, interiors, furniture, jewellery, and other objects" -- Preface.

Author : Ioseb Genebashvili
Publisher : CRC Press
Page : 432 pages
File Size : 30,12 MB
Release : 1997-05-15
Category : Mathematics
ISBN : 9780582302952

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This volume gives an account of the current state of weight theory for integral operators, such as maximal functions, Riesz potential, singular integrals and their generalization in Lorentz and Orlicz spaces. Starting with the crucial concept of a space of homogeneous type, it continues with general criteria for the boundedness of the integral operators considered, then address special settings and applications to classical operators in Euclidean spaces.

Author : Dorothee Haroske
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 47,79 MB
Release : 2003-02-24
Category : Mathematics
ISBN : 9783764369354

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This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: • Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.

Author : Yinqin Li
Publisher : Springer Nature
Page : 663 pages
File Size : 50,51 MB
Release : 2023-02-14
Category : Mathematics
ISBN : 9811967881

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The real-variable theory of function spaces has always been at the core of harmonic analysis. In particular, the real-variable theory of the Hardy space is a fundamental tool of harmonic analysis, with applications and connections to complex analysis, partial differential equations, and functional analysis. This book is devoted to exploring properties of generalized Herz spaces and establishing a complete real-variable theory of Hardy spaces associated with local and global generalized Herz spaces via a totally fresh perspective. This means that the authors view these generalized Herz spaces as special cases of ball quasi-Banach function spaces. In this book, the authors first give some basic properties of generalized Herz spaces and obtain the boundedness and the compactness characterizations of commutators on them. Then the authors introduce the associated Herz–Hardy spaces, localized Herz–Hardy spaces, and weak Herz–Hardy spaces, and develop a complete real-variable theory of these Herz–Hardy spaces, including their various maximal function, atomic, molecular as well as various Littlewood–Paley function characterizations. As applications, the authors establish the boundedness of some important operators arising from harmonic analysis on these Herz–Hardy spaces. Finally, the inhomogeneous Herz–Hardy spaces and their complete real-variable theory are also investigated. With the fresh perspective and the improved conclusions on the real-variable theory of Hardy spaces associated with ball quasi-Banach function spaces, all the obtained results of this book are new and their related exponents are sharp. This book will be appealing to researchers and graduate students who are interested in function spaces and their applications.

Author : Max Dickmann
Publisher : Cambridge University Press
Page : 652 pages
File Size : 35,28 MB
Release : 2019-03-21
Category : Mathematics
ISBN : 1107146720

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Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.

Author : Ali Taheri
Publisher : Oxford University Press
Page : 481 pages
File Size : 19,19 MB
Release : 2015-07-30
Category : Mathematics
ISBN : 0191047848

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This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.