fractional integrals 中文意思是什麼
fractional integrals
解釋
分數次積分- fractional : adj. 1. 零碎的，斷片的。2. 【數學】分數的，小數的，有零數的；不足買賣單位的。3. 【化學】分餾的，分級的。
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Boundedness of fractional integrals on herz - type hardy spaces
空間的有界性 -
This paper introduces the fractional integrals and the fractional maximal functions on ( r ( superscript n ) ), and discusses their boundedness. the obtained results accord with the doubling measure relative results
摘要在非二倍測度條件下引入分數次積分和分數次極大函數，並討論了它們的有界性，其結果與二倍測度相應結果一致。 -
In the first chapter, we obtained weighted norm inequality on the commutators, by proving a variant of sharp function estimates ; j. orobitg and c. perez introduced ap weights for nondoubing measures and proved weighted norm inequality of c - z singular integrals. in the second chapter, we obtained weighted inequalities of fractional integral and its maximal function with ap ( u ) weights for nondoubing measure ; e. sawyer obtained a weak type double weights inequality for fractional integrals in [ 13 ]. in the third chapter, we generalized the sawyer ' s result for non - doubling measures
本文第一章通過證明一個變形的sharp估計，從而得到奇異積分交換子的加權有界性； j . orobitg和c . p rez在文[ 10 ]中引入了非倍測度的a _ p權理論並證明了c - z奇異積分的加權有界性，本文第二章得到了分數次積分運算元和分數次極大函數在非倍測度下a _ p （ ）權的加權估計； e . sawyer在文[ 13 ]中得到了分數次積分的一個雙權弱型不等式，本文第三章把e . sawyer的結果推廣到非倍測度的情形。 -
Using the method of conversing double integrals into linear integrals, we obtain two theorems and their corollaries for double integrals of linear - fractional homogeneous functions with two variables, and construct some typical examples that are difficult to be calculated by ordinary methods to illustrate their applications
摘要通過把二重積分轉化成曲線積分，得到二元分式線性齊次復合函數積分的兩個定理及其若干推論，並構造一些比較典型的用一般方法難以計算的例子說明結論的應用。
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