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Pointwise convergence of some conjugate convolution operators with applications to wavelets. (English) Zbl 1374.42013

Summary: In this paper, we discuss the pointwise convergence of conjugate convolution operators with some applications to wavelets. Some criteria of convergence at \((C, 1)\) continuous points, Lebesgue points and almost everywhere are established.

MSC:

42A50 Conjugate functions, conjugate series, singular integrals
42A85 Convolution, factorization for one variable harmonic analysis
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References:

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