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A Note on Coulhon type inequalities
Sobolev inequalities modulus of continuity symmetrization isoperimetric inequalities interpolation
2012/6/29
T. Coulhon introduced an interesting parametrization of Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.
A further note on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian
p-Laplacian inverse nodal problem Ambarzumyan theorem
2010/11/26
In this note, we extend some results in a previous paper on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian to periodic or anti-periodic boundary conditions, and to L1 potentials...
本注记中,我们主要阐明了块空间与Hardy空间的关系,从而得到$B^{0,\nu}_{q}(S^{n-1})\subset H^{1}(S^{n-1})+L(ln^{+})^{1+\nu}(S^{n-1}),\ \nu>-1, \ q>1$. 进一步,当$\nu\geq 0, \ q>1$ ,块空间$B^{0,\nu}_{q}(S^{n-1})$ 是Hardy空间的真子空间.