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Classification of poset-block spaces admitting MacWilliams-type identity
Classification poset-block spaces admitting MacWilliams-type identity
2012/3/1
In this work we prove that a poset-block space admits a MacWilliams-type identity if and only if the poset is hierarchical and at any level of the poset, all the blocks have the same dimension. When t...
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.