The Boundedness of Calderón-Zygmund Operators on Wavelet Spaces
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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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