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Wavelets, Sobolev Multipliers, and Application to Schrödinger Type Operators with Nonsmooth Potentials
Joint Authors
Yang, Qixiang
Li, Pengtao
Zhu, Yueping
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-24
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We employ Meyer wavelets to characterize multiplier space Xr,pt(ℝn) without using capacity.
Further, we introduce logarithmic Morrey spaces Mr,pt,τ(ℝn) 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 τ of Mr,pt,τ(ℝn) is sharp.
As an application, we consider a Schrödinger type operator with potentials in Mr,pt,τ(ℝn).
American Psychological Association (APA)
Li, Pengtao& Yang, Qixiang& Zhu, Yueping. 2013. Wavelets, Sobolev Multipliers, and Application to Schrödinger Type Operators with Nonsmooth Potentials. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-22.
https://search.emarefa.net/detail/BIM-453414
Modern Language Association (MLA)
Li, Pengtao…[et al.]. Wavelets, Sobolev Multipliers, and Application to Schrödinger Type Operators with Nonsmooth Potentials. Abstract and Applied Analysis No. 2013 (2013), pp.1-22.
https://search.emarefa.net/detail/BIM-453414
American Medical Association (AMA)
Li, Pengtao& Yang, Qixiang& Zhu, Yueping. Wavelets, Sobolev Multipliers, and Application to Schrödinger Type Operators with Nonsmooth Potentials. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-22.
https://search.emarefa.net/detail/BIM-453414
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453414