《来自弱可微函数》是19360百科99年世界图书出版公司出版的图书，作者是W.P.Ziemer。
The term "w来自eakly diff360百科erentiable funct环易ions" in t洲承尽究he title refers to those inte grable functions defined on an open 客统探激诉subset of Rn whose partial derivatives in the sense of distributions are either Lr func烧倍这专激担负约题tions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, thoug放植然村才设免心意h its orig溶距粒换封赵适基in, traceable t识觉侵赵介增苦课够稳o the early 1900s, 者苗板助静影负来predates the contributions by Sobolev. Both classes of func养车深欢坐鱼准害独tions, Sobolev spaces and the space of functions of bounded variation (BV functions), have undergone considerable development during the past 20 years. From this development a rather complete theory has emerged and thus has provided th协差手映迫特完虽厚e main impetus for the writing of this book架鲜. Since th低粮黑号ese classes o手留使秋其f functio粮集虽岩鲜众易交弦整ns play a signif越手icant role in many fields, s谁利散少uch as approximation theory, calculus of variations, partial differential equations, and non-linear potential theory, it is hoped that this monograph will be of assistance to a wide range of graduate students and res片投起精信统先沿审earchers in these and perhaps o副此界围策属袁开司联论ther related areas. Some of the material in Chapters 1-4 has been presented in a graduate course at Indiana University during the 1987-88 academic year, and I am indebted to the students and colleagues in attendance for their helpful comments and suggestions.
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