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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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MORREY SPACES WITH NON-DOUBLING MEASURES II Sawano, Yoshihiro
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.2.56.121-152

Abstract

The aim of this article is a survey of the research of Morrey spaces with non-doubling measures. This article is based on the lecture delivered in Institute Technology Bandung. The first half of this survey contains key results with proofs, which was written is a self-contained manner except Section 6. The second half, Parts 2 and 3, is devoted to formulating key results without proofs.DOI : http://dx.doi.org/10.22342/jims.14.2.56.121-152
A Thought on Generalized Morrey Spaces Sawano, Yoshihiro
Journal of the Indonesian Mathematical Society Volume 25 Number 3 (November 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.3.819.210-281

Abstract

Morrey spaces can complement the boundedness propertiesof operators that Lebesgue spaces can not handle.Morrey spaces which we have been handling are called classical Morrey spaces.However,classical Morrey spaces are not totally enough to describe the boundedness properties.To this end, we need to generalize parameters $p$ and $q$, among others $p$.
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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