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Some embedding theorems for W~(1,p)(Ω, H~n)

Some embedding theorems for W~(1,p)(Ω, H~n)
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摘要 For the maps on the Heisenberg group target, we prove a Poincare type inequality. Applying this Poincare type inequality, we obtain the corresponding versions of Sobolev and Rellich embedding theorems. For the maps on the Heisenberg group target, we prove a Poincare type inequality. Applying this Poincare type inequality, we obtain the corresponding versions of Sobolev and Rellich embedding theorems.
机构地区 College of Science
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第1期85-92,共8页 高校应用数学学报(英文版)(B辑)
基金 Supported by Shanghai Leading Academic Discipline Project (S30501) Innovation Programm of Shanghai Municipal Education Commission (08YZ94)
关键词 Heisenberg group HSlder continuity embedding theorem. Heisenberg group, HSlder continuity, embedding theorem.
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参考文献7

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