Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (4): 449-455.

• Articles • Previous Articles     Next Articles

The Molecule Decomposition of Besov Spaces and Their Application to PDE

 WANG Heng-Geng, DAO Xiang-Xin   

  1. 华南师范大学数学系 广州 510631

    宁波大学数学系 宁波 315211
  • Online:2003-08-25 Published:2003-08-25

Abstract:

After giving  the molecule characterization of Besov spaces B^{s,p}_p(wheres<0,0<p≤1,n≥1 and Ω∈ER(n)). The authors  studied  the bounds of  f→+2 (Gf) for every f∈B^{s,p}_p on bounded convex domain ΩR^n(n ≥3), where G(x,y) is a Green function of the Laplace operator -Δ on Ω.

Key words: Besov space, The atomic or molecule decomposition, Green function, Convex domain

CLC Number: 

  • 35J05

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