索伯列夫嵌入不等式的证明#br#

数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 298-302.

索伯列夫嵌入不等式的证明#br#

1. College of Mathematics, North China Institute of Water Conservancy and Hydroelectric Power2. Henan Women’s Administrative Training School 3. College of Science, Henan University of Technology

收稿日期:2007-12-19 出版日期:2009-06-30 发布日期:2023-08-11
作者简介:ZHANG Yuan-zhang(1963-), male, native of Fugou, Henan, an associate professor of North China Institute of Waiter Conservancy and Hydroelectric Power, engages in the application of mathematics and computer studies.
基金资助:
Supported by Soft Science Project of Henan Province(072102210020)；

The Proof of Sobolev Embedding Inequality

1. College of Mathematics, North China Institute of Water Conservancy and Hydroelectric Power2. Henan Women’s Administrative Training School 3. College of Science, Henan University of Technology

Received:2007-12-19 Online:2009-06-30 Published:2023-08-11
About author:ZHANG Yuan-zhang(1963-), male, native of Fugou, Henan, an associate professor of North China Institute of Waiter Conservancy and Hydroelectric Power, engages in the application of mathematics and computer studies.
Supported by:
Supported by Soft Science Project of Henan Province(072102210020)；

摘要/Abstract

摘要： We consider the problem about the space embedded by the space and the embedding inequality. With the Holder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holder embedding theorem.

关键词: Sobolev space, Holder inequality, interpolation inequality, embedding theorem;
embedding inequality

Abstract: We consider the problem about the space embedded by the space and the embedding inequality. With the Holder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holder embedding theorem.

Key words: Sobolev space, Holder inequality, interpolation inequality, embedding theorem;
embedding inequality

中图分类号:

O175.29

张愿章, 张永平, 郭秀兰. 索伯列夫嵌入不等式的证明#br#[J]. 数学季刊, 2009, 24(2): 298-302.

ZHANG Yuan-zhang, ZHANG Yong-ping, GUO Xiu-lan. The Proof of Sobolev Embedding Inequality[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 298-302.

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