Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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The following are papers that have received final approval and are awaiting to be published. They are listed in the order of their initial submission date.
Papers are published in the order of their initial submission date and will be made available under “Current Issue” once scheduled to be included in a print issue.

Note: Please understand the below list is not in the exact publishing order of the papers as the list does not include papers under internal reviewing process nor those that have not been galley proofed by the authors.

Final published versions of all papers are available under “All Issues” and also under “Current Issue” for papers included in the current issue.

* Paper information have been automatically generated from the information submitted by authors in the online submission system.
  • Online first article February 14, 2025

    A wavelet characterization for the dual of weighted anisotropic Hardy spaces

    Jun Liu, Yaqian Lu, and Jiashuai Ruan

    Abstract : Let $A$ be a general expansive matrix on $\mathbb{R}^n$ and $H_{A,w}^p(\mathbb R^n)$ the weighed anisotropic Hardy space associated to $A$, where $p\in(0,1]$ and $w$ is an anisotropic Muckenhoupt weight. In this article, the authors first introduce the weighted anisotropic Carleson measure space ${\mathrm{CMO}}_{A,w}^{p}(\mathbb{R}^n)$ in terms of wavelets. Then, using the known wavelet characterization of $H_{A,w}^p(\mathbb R^n)$ and establishing a duality relation between two sequence spaces, the authors prove that the space ${\mathrm{CMO}}_{A,w}^{p}(\mathbb{R}^n)$ is the dual space of $H_{A,w}^p(\mathbb R^n)$. As an application, the authors give a wavelet characterization of weighed anisotropic Campanato spaces. All these results are new even for the parabolic Hardy space or the anisotropic Hardy space $H_A^p(\mathbb R^n)$.

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  • Online first article February 17, 2025

    A study of harmonicity on tangent bundles with the Berger-type Cheeger-Gromoll metric

    FETHI LATTI and ABDERRAHIM ZAGANE

    Abstract : This paper aims to study the harmonicity concerning the Berger-type Cheeger-Gromoll metric on the tangent bundle over an anti-paraK\"{a}hler manifold. Firstly, the harmonicity of a vector field is studied for this metric, and some examples of harmonic vector fields are. Secondly, the harmonicity of a vector field along a mapping between Riemannian manifolds has been discussed. The last section of this paper examines the harmonicity of the composition of the projection map of the tangent bundle of a Riemannina manifold with a map from this manifold into another Riemannian manifold.

  • Online first article February 13, 2025

    Invariant submean value inequality and hyponormality of Toeplitz operators on the upper half-plane

    Farouq Sadeq Alshormani, Hocine Guediri, and Houcine Sadraoui

    Abstract : In this paper, we establish the half-plane analogue of P. Ahern and \v{Z}. \v{C}u\v{c}kovi\'{c} (1996) characterization of almost subharmonicity of functions satisfying the inequality $\mathcal{B}f\geq f$, where $\mathcal{B}$ denotes the Berezin transform. As a byproduct, we investigate hyponormality of a class of Toeplitz operators with bounded harmonic symbols acting on the Bergman space of the complex upper half-plane.

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March, 2025
Vol.62 No.2

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