Embedding properties of Besov-type spaces

Abstract

In this paper, the authors study embeddings of Besov-type spaces , and obtain necessary and sufficient conditions. Moreover, the authors also consider situations or , and can finally cover some cases where is replaced by .

Keywords:

• Besov-type space
• embedding
• wavelet characterization

AMS Subject Classifications:

• Primary: 46E35
• Secondary: 42B35

Notes

Wen Yuan is supported by the National Natural Science Foundation of China [grant number 11101038] and the Alexander von Humboldt Foundation. Dachun Yang is supported by the National Natural Science Foundation of China [grant number 11171027], [grant number 11361020]. This project is also partially supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China [grant number 20120003110003] and the Fundamental Research Funds for Central Universities of China [grant number 2012LYB26].