An equivalent norm of Herz spaces and its application to the Carleson operator

Yoshihiro Sawano

doi:10.62918/hjma.v3i1.29

Authors

Yoshihiro Sawano Chuo University

DOI:

https://doi.org/10.62918/hjma.v3i1.29

Keywords:

Herz spaces, weights, equivalent norm, Carleson operators

Abstract

By establishing a new norm equivalence on Herz spaces using the Muckenhoupt class, the boundedness of the maximal modulated singular integral operators is established. This boundedness also boils down to the boundedness of the Carleson operator over the real line.

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