Function spaces of BMO and Campanato type
To obtain the Littlewood-Paley characterization for Campanato spaces $mathcal{L}^{2,lambda}$ modulo polynomials (which contain as special case the John and Nirenberg space $BMO$), we define and study a scale of function spaces on $mathbb{R}^{n}$. We discuss the real interpolation of these spaces and...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/09/e2/abstr.html |
| Summary: | To obtain the Littlewood-Paley characterization for Campanato spaces $mathcal{L}^{2,lambda}$ modulo polynomials (which contain as special case the John and Nirenberg space $BMO$), we define and study a scale of function spaces on $mathbb{R}^{n}$. We discuss the real interpolation of these spaces and some embeddings between these spaces and the classical spaces. These embeddings cover some classical results obtained by Campanato, Strichartz, Stein and Zygmund. |
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| ISSN: | 1072-6691 |