This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives…
![Hölder and locally Hölder continuous functions, and open sets of Class C[k superscript], C[k, lambda superscript]](https://covers.openlibrary.org/b/isbn/9783319479392-M.jpg?default=false)
![Hölder and locally Hölder continuous functions, and open sets of Class Ck̳, Ck̳[lambda]](https://covers.openlibrary.org/b/isbn/9783319479408-M.jpg?default=false)
This book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the existing literature by presenting in detail the classic ?-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set ? in Rn. Further, it provides …
"This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit o…
This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit of…
This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit of…
Front Matter -- Spaces of Continuous Functions -- Differentiable Functions -- Differentiating Composite Functions and Others -- Integrating Uniformly Continuous Functions -- Properties of the Measure of an Open Set -- Additional Properties of the Integral -- Weighting and Regula…
There are two long outstanding constructivity problems concerning real-valued functions on the closed unit interval: (i) is every function continuous? (ii) is every continuous function uniformly continuous? In this paper the method of reliefs is introduced to aid the study of th…
