Properties of Functions in the Wiener Class BVp[a,b] for 0<p<1
We will investigate properties of functions in the Wiener class BVp[a,b] with 0<p<1. We prove that any function in BVp[a,b] (0<p<1) can be expressed as the difference of two increasing functions in BVp[a,b]. We also obtain the explicit form of functions in BVp[a,b] and show that their de...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/630137 |
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| _version_ | 1850229119541837824 |
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| author | Yeli Niu Heping Wang |
| author_facet | Yeli Niu Heping Wang |
| author_sort | Yeli Niu |
| collection | DOAJ |
| description | We will investigate properties of functions in the Wiener class BVp[a,b] with 0<p<1. We prove that any function in BVp[a,b] (0<p<1) can be expressed as the difference of two increasing functions in BVp[a,b]. We also obtain the explicit form of functions in BVp[a,b] and show that their derivatives are equal to zero a.e. on [a,b]. |
| format | Article |
| id | doaj-art-1f5e6921363b484db26b09ad0ee408ce |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1f5e6921363b484db26b09ad0ee408ce2025-08-20T02:04:20ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/630137630137Properties of Functions in the Wiener Class BVp[a,b] for 0<p<1Yeli Niu0Heping Wang1School of Mathematical Sciences, Capital Normal University, Beijing 100048, ChinaSchool of Mathematical Sciences, BCMIIS, Capital Normal University, Beijing 100048, ChinaWe will investigate properties of functions in the Wiener class BVp[a,b] with 0<p<1. We prove that any function in BVp[a,b] (0<p<1) can be expressed as the difference of two increasing functions in BVp[a,b]. We also obtain the explicit form of functions in BVp[a,b] and show that their derivatives are equal to zero a.e. on [a,b].http://dx.doi.org/10.1155/2015/630137 |
| spellingShingle | Yeli Niu Heping Wang Properties of Functions in the Wiener Class BVp[a,b] for 0<p<1 Journal of Function Spaces |
| title | Properties of Functions in the Wiener Class BVp[a,b] for 0<p<1 |
| title_full | Properties of Functions in the Wiener Class BVp[a,b] for 0<p<1 |
| title_fullStr | Properties of Functions in the Wiener Class BVp[a,b] for 0<p<1 |
| title_full_unstemmed | Properties of Functions in the Wiener Class BVp[a,b] for 0<p<1 |
| title_short | Properties of Functions in the Wiener Class BVp[a,b] for 0<p<1 |
| title_sort | properties of functions in the wiener class bvp a b for 0 p 1 |
| url | http://dx.doi.org/10.1155/2015/630137 |
| work_keys_str_mv | AT yeliniu propertiesoffunctionsinthewienerclassbvpabfor0p1 AT hepingwang propertiesoffunctionsinthewienerclassbvpabfor0p1 |