Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (2): 298-302.

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The Proof of Sobolev Embedding Inequality

  

  1. 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);

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

CLC Number: