Geodesic
Convolution with Odd Kernels Having a Tempered Singularity
Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 3-12

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DOI

Suppose b(t) decreases to 0 on [1, ∞). Define the singular integral operator Cb at periodic f of period 1 in L1 (T),T = ( - 1 / 2, 1/2), by Then, for a large class of b one has the rearrangement inequality This inequality is used to construct a rearrangement invariant function space X corresponding to a given such space Y so that Cb maps X into Y.
DOI : 10.4153/CMB-1988-001-6
Mots-clés : 42A50, 46E30 
Kerman, R. A. Convolution with Odd Kernels Having a Tempered Singularity. Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 3-12. doi: 10.4153/CMB-1988-001-6
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     title = {Convolution with {Odd} {Kernels} {Having} a {Tempered} {Singularity}},
     journal = {Canadian mathematical bulletin},
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     year = {1988},
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