Wavelets, Sobolev Multipliers, and Application to Schrödinger Type Operators with Nonsmooth Potentials

Pengtao Li, Qixiang Yang and Yueping Zhu

Abstract and Applied Analysis, 2013, vol. 2013, 1-22

Abstract:

We employ Meyer wavelets to characterize multiplier space without using capacity. Further, we introduce logarithmic Morrey spaces to establish the inclusion relation between Morrey spaces and multiplier spaces. By fractal skills, we construct a counterexample to show that the scope of the index of is sharp. As an application, we consider a Schrödinger type operator with potentials in .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:193420

DOI: 10.1155/2013/193420

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