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Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity

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 نشر من قبل Shuichi Sato
 تاريخ النشر 2017
  مجال البحث
والبحث باللغة English
 تأليف Shuichi Sato




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We prove the endpoint weak type estimate for square functions of Marcinkiewicz type with fractional integrals associated with non-isotropic dilations. This generalizes a result of C. Fefferman on functions of Marcinkiewicz type by considering fractional integrals of mixed homogeneity in place of the Riesz potentials of Euclidean structure.



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