L-correspondences: the inclusion Lp(μ,X)⊂Lq(ν,Y)
In order to study inclusions of the type Lp(μ,X)⊂Lq(ν,Y), we introduce the notion of an L-correspondence. After proving some basic theorems, we give characterizations of some types of L-correspondences and offer a conjecture that is similar to an equimeasurability theorem.
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000993 |
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| _version_ | 1832556280934301696 |
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| author | C. Bryan Dawson |
| author_facet | C. Bryan Dawson |
| author_sort | C. Bryan Dawson |
| collection | DOAJ |
| description | In order to study inclusions of the type
Lp(μ,X)⊂Lq(ν,Y), we introduce the notion of an
L-correspondence. After proving some
basic theorems, we give characterizations of some types of L-correspondences
and offer a conjecture that is similar to an equimeasurability theorem. |
| format | Article |
| id | doaj-art-8d1551032d4549feb9e627984305ca8a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8d1551032d4549feb9e627984305ca8a2025-02-03T05:45:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119472372610.1155/S0161171296000993L-correspondences: the inclusion Lp(μ,X)⊂Lq(ν,Y)C. Bryan Dawson0Division of Mathematics and Computer Science, Emporia State University, Emporia, KS 66801, USAIn order to study inclusions of the type Lp(μ,X)⊂Lq(ν,Y), we introduce the notion of an L-correspondence. After proving some basic theorems, we give characterizations of some types of L-correspondences and offer a conjecture that is similar to an equimeasurability theorem.http://dx.doi.org/10.1155/S0161171296000993L-correspondenceinclusionLebesgue-Bochner spacesmeasurable point mappingequimeasurability. |
| spellingShingle | C. Bryan Dawson L-correspondences: the inclusion Lp(μ,X)⊂Lq(ν,Y) International Journal of Mathematics and Mathematical Sciences L-correspondence inclusion Lebesgue-Bochner spaces measurable point mapping equimeasurability. |
| title | L-correspondences: the inclusion
Lp(μ,X)⊂Lq(ν,Y) |
| title_full | L-correspondences: the inclusion
Lp(μ,X)⊂Lq(ν,Y) |
| title_fullStr | L-correspondences: the inclusion
Lp(μ,X)⊂Lq(ν,Y) |
| title_full_unstemmed | L-correspondences: the inclusion
Lp(μ,X)⊂Lq(ν,Y) |
| title_short | L-correspondences: the inclusion
Lp(μ,X)⊂Lq(ν,Y) |
| title_sort | l correspondences the inclusion lp μ x ⊂lq ν y |
| topic | L-correspondence inclusion Lebesgue-Bochner spaces measurable point mapping equimeasurability. |
| url | http://dx.doi.org/10.1155/S0161171296000993 |
| work_keys_str_mv | AT cbryandawson lcorrespondencestheinclusionlpmxlqny |