Distance and Measure in Analysis and Partial Differential Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Distance and Measure in Analysis and Partial Differential Equations

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Aimar, Hugo 作者
Springer Verlag
譯者
2007-3 出版日期
300 頁數
$ 90.34 價格
HRD
叢書系列
9780817643157 圖書編碼

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Distance and Measure in Analysis and Partial Differential Equations 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Distance and Measure in Analysis and Partial Differential Equations 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Distance and Measure in Analysis and Partial Differential Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Distance and Measure in Analysis and Partial Differential Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Distance and Measure in Analysis and Partial Differential Equations 在線電子書 圖書描述

This comprehensive exploration of a metric approach to some relevant problems and techniques in analysis focuses on examining spaces of homogeneous type. Both the structural and analytical problems under consideration reflect very active areas of current research. The exposition, motivated by examples and details of which many cannot be found elsewhere in book form, unfolds systematically in three parts, starting from such preliminaries as the basic structures of quasi-metric spaces, the homogeneity property and measure theory. More advanced topics are then covered, including Caldersn-Zygmund decompositions, L 2 techniques, weighted norm inequalities, BMO, and Hardy spaces. The final aim is to encourage a well-developed way of thinking about some mathematical and even physical problems, i.e. Newtonian and Riesz potentials, fields and their derivatives, mean value and Harnack inequalities related to Hvlder regularity, wavelet type analysis on non-euclidian contexts, etc. The book is suitable for self-study or as a classroom resource for graduate students in analysis and PDEs. Real analysis and topology, some basics of Fourier analysis and PDEs are requisite background for the reader.

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