ON A HYPER HILBERT TRANSFORM＊＊＊＊-中国期刊网

摘要 TheauthorsdefinethedirectionalhyperHilberttransformandgiveitsmixednormestimate.Thesimilarconclusionsforthedirectionalfractionalintegralofonedimensionarealsoobtainedinthispaper.Asanapplicationoftheaboveresults,theauthorsgivetheLp-boundednessforaclassofthehypersingularintegralsandthefractionalintegralswithvariablekernel.Moreover,asanotherapplicationoftheaboveresults,theauthorsprovethedimensionfreeestimateforthehyperRiesztransform.ThisisanextensionoftherelatedresultobtainedbyStein.

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ON A HYPER HILBERT TRANSFORM＊＊＊＊

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ON A HYPER HILBERT TRANSFORM＊＊＊＊

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