We first define test functions and wavelet spaces on spaces of homogeneous type. Then we prove the main result of this chapter, namely that Calderón-Zygmund operators whose kernels satisfy an additional smoothness condition are bounded on wavelet spaces. This result will be a crucial tool to provide wavelet expansions of functions and distributions on spaces of homogeneous type in the next chapter.
We first introduce test functions on spaces of homogeneous type.
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© 2009 Springer-Verlag Berlin Heidelberg
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(2009). The Boundedness of Calderón-Zygmund Operators on Wavelet Spaces. In: Harmonic Analysis on Spaces of Homogeneous Type. Lecture Notes in Mathematics, vol 1966. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88745-4_3
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DOI: https://doi.org/10.1007/978-3-540-88745-4_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88744-7
Online ISBN: 978-3-540-88745-4
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