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All Journal Journal of the Indonesian Mathematical Society Hilbert Journal of Mathematical Analysis
Yoshihiro Sawano
Department of Mathematics, Gakushuin University 1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588, Japan.
Chemistry Control & Systems Engineering Engineering Mathematics Physics

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Journal : Hilbert Journal of Mathematical Analysis

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An equivalent norm of Herz spaces and its application to the Carleson operator Sawano, Yoshihiro
Hilbert Journal of Mathematical Analysis Vol. 3 No. 1 (2024): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v3i1.29

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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