ArticleOriginal scientific text
Title
Weak type estimates for operators of potential type
Authors 1, 2
Affiliations
- Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903, U.S.A.
- Department of Mathematics and Computer Science, University of Missouri-St. Louis, St. Louis, Missouri 63121, U.S.A.
Abstract
We derive two-weight weak type estimates for operators of potential type in homogeneous spaces. The conditions imposed on the weights are testing conditions of the kind first studied by E. T. Sawyer [4]. We also give some applications to strong type estimates as well as to operators on half-spaces.
Keywords
norm inequality, weight, operator of potential type, homogeneous space
Bibliography
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Pages:
149-160
Main language of publication
English
Received
1995-04-20
Accepted
1996-01-25
Published
1996
Exact and natural sciences