ON A THEOREM OF MUCKENHOUPT AND WHEEDEN AND A WEIGHTED INEQUALITY RELATED TO SCHRÖDINGER OPERATORS

ON A THEOREM OF MUCKENHOUPT AND WHEEDEN AND A WEIGHTED INEQUALITY RELATED TO SCHRÖDINGER OPERATORS
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论Muckenhoupt和Wheeden定理以及薛定谔算子的加权不等式

DOI:
10.1090/s0002-9947-1993-1072105-7
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发表时间:
1993
影响因子:
1.3
通讯作者:
C. Pérez
C. Pérez
中科院分区:
数学1区
文献类型:
--
作者:
C. Pérez

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我们在几个方向上推广了B. Muckenhoupt和R. Wheeden关于Riesz势的L -范数和分数极大算子的定理。我们应用这些结果给出了Chang, Wilson和Wolff的薛定谔算子的一个简单证明和一个加权不等式
We extend in several directions a theorem of B. Muckenhoupt and R. Wheeden relating the L p -norms of Riesz potentials and fractional maximal operators. We apply these results to give a simple proof and sharpen a weighted inequality for Schrodinger operators of Chang, Wilson and Wolff