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On the coincidence of certain approaches to smoothness spaces related to Morrey spaces |
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| Authors: | Wen Yuan Winfried Sickel Dachun Yang |
| Affiliation: | 1. +86 010 5880 5472+86 010 5880 5472;2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, , Beijing, 100875 P. R. China;3. Mathematisches Institut, Friedrich‐Schiller‐Universit?t Jena, Ernst‐Abbe‐Platz 2, , 07743 Jena, Germany;4. +49 3641 946121+49 3641 946102 |
| Abstract: | In this paper, we compare the recent approach of Hans Triebel to introduce smoothness spaces related to Morrey‐Campanato spaces with Besov type and Triebel‐Lizorkin type spaces. These two scales have been introduced some years ago and represent a further variant to measure smoothness by using Morrey spaces. |
| Keywords: | Besov space Triebel‐Lizorkin space Morrey‐Campanato space wavelet atom Primary: 46E35 Secondary: 42C40 |