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We establish the construction theory of function based upon a local field K p as underlying space. By virture of the con......
设M是具有非负Ricci曲率的完备Riemann流形,本文证明M上Sobolev不等式‖f‖q≤Cn,p,q(1≤P,q<∞)对一切(M)成立的充要条件是对一切x∈M,Vx(r)=Vol(Bx(r))≥且,而M上较弱的Sobolev不等式‖f‖q≤Cn‖F‖p)(1<p<q<∞)对一切......
In this article,an elliptic system is investigated,which involves Hardy-type potentials,critical Sobolev-type nonlineari......
Motivated by the idea of M. Ledoux who brings out the connection between Sobolev embeddings and heat kernel bounds, we p......