Embedding Theorem on Anisotropic Besov Classes in Different Metrics with Mixed Norm

Li Xing QIAN, Gen Sun FANG

Acta Mathematica Sinica, Chinese Series ›› 2006, Vol. 49 ›› Issue (2) : 381-390.

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PDF(507 KB)
Acta Mathematica Sinica, Chinese Series ›› 2006, Vol. 49 ›› Issue (2) : 381-390. DOI: 10.12386/A2006sxxb0048
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Embedding Theorem on Anisotropic Besov Classes in Different Metrics with Mixed Norm

  • Li Xing QIAN, Gen Sun FANG
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Abstract

In this paper, we establish a representation theorem on anisotropic Besov class with mixed norm Bpθr(Rd ). Using this theorem, we prove an embedding theorem on the Besov class with mixed norm in different metrics: Bpθr(Rd)--->Bqθr'(Rd), where

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Li Xing QIAN, Gen Sun FANG. Embedding Theorem on Anisotropic Besov Classes in Different Metrics with Mixed Norm. Acta Mathematica Sinica, Chinese Series, 2006, 49(2): 381-390 https://doi.org/10.12386/A2006sxxb0048
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