Abstract
In this paper, applying the Peetre maximal function characterizations and the boundedness of Fourier multipliers on Besov-type and Triebel–Lizorkin-type spaces, as well as Besov–Morrey and Triebel–Lizorkin–Morrey spaces, the authors present some equivalent quasi-norms of these spaces in terms of derivatives.
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This project is supported by the National Natural Science Foundation of China (Grant Nos. 11571039, 11471042 and 11671185).
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Wu, S., Yang, D. & Yuan, W. Equivalent Quasi-Norms of Besov–Triebel–Lizorkin-Type Spaces via Derivatives. Results Math 72, 813–841 (2017). https://doi.org/10.1007/s00025-017-0684-6
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DOI: https://doi.org/10.1007/s00025-017-0684-6