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Positive operators and maximal operators in a filtered measure space
- Source :
-
Journal of Functional Analysis . Feb2013, Vol. 264 Issue 4, p920-946. 27p. - Publication Year :
- 2013
-
Abstract
- Abstract: In a filtered measure space, a characterization of weights for which the trace inequality of a positive operator holds is given by the use of discrete Wolffʼs potential. A refinement of the Carleson embedding theorem is also introduced. Sawyer type characterization of weights for which a two-weight norm inequality for a generalized Doobʼs maximal operator holds is established by an application of our Carleson embedding theorem. Moreover, Hytönen–Pérez type one-weight norm estimate for Doobʼs maximal operator is obtained by the use of our two-weight characterization. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 264
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 84749892
- Full Text :
- https://doi.org/10.1016/j.jfa.2012.12.003