Absolute continuity, singularity and product measures
Conditions are given under which a product of two semifinite measures is absolutely continuous or weakly singular with respect to another product of two semifinite measures. A Lebesgue type decomposition theorem is proved for certain product measures so that the resulting measures are themselves pro...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000738 |
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| _version_ | 1850217889805631488 |
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| author | Roy A. Johnson |
| author_facet | Roy A. Johnson |
| author_sort | Roy A. Johnson |
| collection | DOAJ |
| description | Conditions are given under which a product of two semifinite measures is absolutely continuous or weakly singular with respect to another product of two semifinite measures. A Lebesgue type decomposition theorem is proved for certain product measures so that the resulting measures are themselves product measures. |
| format | Article |
| id | doaj-art-380fc139c75c44209d3f7cc013833113 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-380fc139c75c44209d3f7cc0138331132025-08-20T02:07:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015479380710.1155/S0161171282000738Absolute continuity, singularity and product measuresRoy A. Johnson0Department of Mathematics, Washington State University, Pullman, Washington 99164, USAConditions are given under which a product of two semifinite measures is absolutely continuous or weakly singular with respect to another product of two semifinite measures. A Lebesgue type decomposition theorem is proved for certain product measures so that the resulting measures are themselves product measures.http://dx.doi.org/10.1155/S0161171282000738 |
| spellingShingle | Roy A. Johnson Absolute continuity, singularity and product measures International Journal of Mathematics and Mathematical Sciences |
| title | Absolute continuity, singularity and product measures |
| title_full | Absolute continuity, singularity and product measures |
| title_fullStr | Absolute continuity, singularity and product measures |
| title_full_unstemmed | Absolute continuity, singularity and product measures |
| title_short | Absolute continuity, singularity and product measures |
| title_sort | absolute continuity singularity and product measures |
| url | http://dx.doi.org/10.1155/S0161171282000738 |
| work_keys_str_mv | AT royajohnson absolutecontinuitysingularityandproductmeasures |