Charaterisation of function spaces via mollification; fractal quantities for distributions
The aim of this paper is twofold. First we characterise elements f belonging to the Besov spaces Bpqs(ℝn) with s∈ℝ, 0<p≤∞, 0<q≤∞, in terms of their mollifications. Secondly we use these results to study multifractal quantities for distributions generalising well-known corresponding quantitie...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2003/951862 |
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| _version_ | 1832567156550664192 |
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| author | Hans Triebel |
| author_facet | Hans Triebel |
| author_sort | Hans Triebel |
| collection | DOAJ |
| description | The aim of this paper is twofold. First we characterise elements f belonging to the Besov spaces Bpqs(ℝn) with s∈ℝ, 0<p≤∞, 0<q≤∞, in terms of their mollifications. Secondly we use these results to study multifractal quantities for distributions generalising well-known corresponding quantities for Radon measures. |
| format | Article |
| id | doaj-art-22b120090aca482890133670b7376704 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-22b120090aca482890133670b73767042025-02-03T01:02:07ZengWileyJournal of Function Spaces and Applications0972-68022003-01-0111758910.1155/2003/951862Charaterisation of function spaces via mollification; fractal quantities for distributionsHans Triebel0Mathematishes Institut, Fakultät für Mathematik und Informatik, Friedrih-Shiller-Universität, D-07740 Jena, GermanyThe aim of this paper is twofold. First we characterise elements f belonging to the Besov spaces Bpqs(ℝn) with s∈ℝ, 0<p≤∞, 0<q≤∞, in terms of their mollifications. Secondly we use these results to study multifractal quantities for distributions generalising well-known corresponding quantities for Radon measures.http://dx.doi.org/10.1155/2003/951862 |
| spellingShingle | Hans Triebel Charaterisation of function spaces via mollification; fractal quantities for distributions Journal of Function Spaces and Applications |
| title | Charaterisation of function spaces via mollification; fractal quantities for distributions |
| title_full | Charaterisation of function spaces via mollification; fractal quantities for distributions |
| title_fullStr | Charaterisation of function spaces via mollification; fractal quantities for distributions |
| title_full_unstemmed | Charaterisation of function spaces via mollification; fractal quantities for distributions |
| title_short | Charaterisation of function spaces via mollification; fractal quantities for distributions |
| title_sort | charaterisation of function spaces via mollification fractal quantities for distributions |
| url | http://dx.doi.org/10.1155/2003/951862 |
| work_keys_str_mv | AT hanstriebel charaterisationoffunctionspacesviamollificationfractalquantitiesfordistributions |