登入選單
返回Google圖書搜尋
Extrapolation and Optimal Decompositions
Mario Milman
其他書名
with Applications to Analysis
出版Springer, 2006-11-15
主題Mathematics / Mathematical AnalysisMathematics / Group TheoryMathematics / Calculus
ISBN35404843969783540484394
URLhttp://books.google.com.hk/books?id=ZWp7CwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋This book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. commutator estimates. Most of the results presented are new or have not appeared in book form before. A special feature of the book are the applications to other areas of analysis. Among them Sobolev imbedding theorems in different contexts including logarithmic Sobolev inequalities are obtained, commutator estimates are connected to the theory of comp. compactness, a connection with maximal regularity for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived.