Dachun Yang: 3 books

Book cover of The Hardy Space H1 with Non-doubling Measures and Their Applications
by Dongyong Yang, Guoen Hu, Dachun Yang
Language: English
Release Date: January 4, 2014

The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of...
Book cover of Real-Variable Theory of Musielak-Orlicz Hardy Spaces
by Dachun Yang, Yiyu Liang, Luong Dang Ky
Language: English
Release Date: May 9, 2017

The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak–Orlicz Hardy-type function spaces, and to lay the foundations for further applications. The real-variable theory of function spaces has always been at...
Book cover of Gaussian Capacity Analysis
by Liguang Liu, Jie Xiao, Dachun Yang
Language: English
Release Date: September 20, 2018

This monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian Poincaré 1-inequality.  Applications to function spaces and...
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