退化薛定谔算子的黎斯位势的端点估计(英文)

郭玉星; 江寅生

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退化薛定谔算子的黎斯位势的端点估计(英文)

更新时间：2026-01-21

- 退化薛定谔算子的黎斯位势的端点估计(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 29, Issue 3, Pages: 253-258(2012)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O177
- Published：2012
- 稿件说明：
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[1]郭玉星,江寅生.退化薛定谔算子的黎斯位势的端点估计(英文)[J].新疆大学学报(自然科学版),2012,29(03):253-258.

郭玉星, 江寅生. 退化薛定谔算子的黎斯位势的端点估计(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(3): 253-258.
[1]郭玉星,江寅生.退化薛定谔算子的黎斯位势的端点估计(英文)[J].新疆大学学报(自然科学版),2012,29(03):253-258. DOI：

郭玉星, 江寅生. 退化薛定谔算子的黎斯位势的端点估计(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(3): 253-258. DOI：

摘要

考虑退化薛定谔算子L的黎斯位势L-β/2(f)

得到了L-β/2是Ld/β(w)到BMOLβ/d(w)或者BLOLβ/d(w)有界的

其中Lf(x)=-(1/(w(x)))∑i

j=1d ai(aij(·)a_jf)(x)+V(x)f(x)

w(x)∈A2是经典的Muckenhoupt权函数

V(x)是非负位势函数

关于测度w(x)dx满足反Holder不等式

aij(·)是实对称矩阵

满足λw(x)|ξ|2≤∑i

j=1d aij(x)ξiξj≤Λw(x)|ξ|2.

Abstract

Let Lf(x)=-1/(w(x))∑i

j=1/di(aij(·)_jf)(x) + V(x)f(x)

where w(x) is a Muckenhoupt weight function

V(x) is anonnegative potential satisfying the reverse Holder class with respect to the measure w(x)dx

and aij(·) is a real symmetricmatrix satisfyingλw(x)|ζ|2≤∑i

j=1d=_1aij(x)ζiζj≤∧w(x)|ζ|2.LetL-β/2(f) be the Riesz potential associated to L

we obtainthe boundedness from Ld|β(w) into BMOLβ/d(w) or BLOLβ/d(w).

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references

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