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Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 8
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Original Articles

Reproducing Kernels of Hm (a, b) (m = 1, 2, 3) and Least Constants in Sobolev’s Inequalities

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Pages 809-820 | Received 02 Jan 2003, Accepted 15 May 2003, Published online: 17 Jan 2012

References

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  • Hardy , G.H. , Littlewood , J.E. and Pólya , G. 1967 . Inequalities , Cambrige University Press .
  • Morosi , C. and Pizzocchero , L. 2001 . On the constants for some Sobolev imbeddings . J. of Inequal. Appl. , 6 : 665 – 679 .
  • Aronszajn , N. 1950 . Theory of reproducing kernels . Trans. Amer. Math. Soc. , 68 : 337 – 404 .
  • Saitoh , S. 1997 . Integral Transforms, Reproducing Kernels, and Their Applications , UK : Addison‐Wesley Longman .
  • Agler , J. 1990 . Nevanlinna‐Pick interpolation on Sobolev space . Proc. of AMS , 108 ( 2 ) : 341 – 351 .

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