Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Ahead of Print Articles

HOME VIEW ARTICLES Ahead of Print Articles
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 September 20, 2024

    Growth of Solutions of Some Second Order Differential Equations with Entire Coefficients

    Zhi-Bo Huang, Ilpo Laine, and Jia-Ling Lin

    Abstract : In this paper, we consider the differential equation \begin{equation*} f''+Af'+Bf=0, (*) \end{equation*} where $A(z)$ and $B(z)\not\equiv 0$ are entire functions. Assume that $A(z)$ is a non-trivial solution of $\omega''+P(z)\omega=0$, where $P(z)$ is a polynomial. If $B(z)$ satisfies extremal for Yang's inequality and other conditions, then every non-trivial solution $f$ of equation (*) has $\mu(f)=\infty$. We also investigate the relation between a small function and a differential polynomial of $f$.

    Full Text PDF

  • Online first article October 2, 2024

    Idempotents in $\pi$-regular rings, right AI rings, NI rings and generalized regular rings

    Sera Kim, Chang Ik Lee, and Zhelin Piao

    Abstract : Von Neumann regular rings are studied by ring theorists and functional analysts in connection with operator algebra theory. In particular, the concept of idempotent in algebra is a generalization of projection in analysis. We study the structure of idempotents in $\pi$-regular rings, right AI rings (i.e., for every element $a$, $ab$ is an idempotent for some nonzero element $b$), NI rings, and generalized regular rings (i.e., every nonzero principal right ideal contains a nonzero idempotent). We obtain a well-known fact, proved by Menal, Nicholson and Zhou, that idempotents can be lifted modulo every ideal in $\pi$-regular rings, as a corollary of one of main results of this article. It is shown that the $\pi$-regularity is seated between right AI and regularity. We also show that from given any $\pi$-regular ring, we can construct a right AI ring but not $\pi$-regular. In addition, we study the structure of idempotents of $\pi$-regular rings and right AI rings in relation to the ring properties of Abelian and NI, giving simpler proofs to well-known results for Abelian $\pi$-regular rings.

    Show More  
    Full Text PDF

  • Online first article August 19, 2024

    Partitions weighted by the number of two types of parts

    Byungchan Kim and Eunmi Kim

    Abstract : We confirm the conjecture proposed by ourselves and J. Lovejoy that for all $n>9$ \[ p'_e(n) > p'_o(n) \] holds, where $p'_e(n)$ (respectively, $p'_o(n)$) is the number of partitions of $n$ having an even (respectively, odd) number of odd parts larger than twice of the number of even parts. Moreover, we examine the connections between the number of partitions weighted by the number of two types of parts and partition functions from the literature on the theory of partitions.

    Full Text PDF

  • Online first article September 26, 2024

    Regularity properties of higher order maximal commutators with Lipschitz symbols

    Yuan Ma

    Abstract : In the present paper we establish the boundedness and continuity of the higher order maximal commutators with Lipschitz symbols on the Sobolev spaces, Triebel–Lizorkin spaces and Besov spaces. More precisely, let 0 ≤ α < d and Mkb,α(k ≥ 1) be the k-th order fractional maximal commutator. When α = 0, we denote Mkb,α = Mkb. We prove that Mkb,α maps the first order Sobolev spaces W1,p(Rd) boundedly and continuously to W1,q(Rd) for 1 < p < q < ∞ and 1/q = 1/p−α/d if b belongs to the inhomogeneous Lipschitz space Lip(Rd). We also show that if 0 < γ ≤ 1,0 < s < γ, 1 < p,q < ∞ and b ∈ Lipγ(Rd), then Mkbis bounded and continuous from the fractionalSobolev spaces Ws,p(Rd) to itself, from the inhomogeneous Triebel–Lizorkin spaces Fp,qs (Rd) to itself and from the inhomogeneous Besov spaces Bp,qs (Rd) to itself.

    Show More  
    Full Text PDF

  • Online first article July 23, 2024

    The generalized Zhang’s operator and Kastler-Kalau-Walze type theorems for six-dimensional manifolds with boundary

    Hongfeng Li and Yong Wang

    Abstract : In [16], we obtain two Lichnerowicz type formulas for the generalized Zhang’s operator. And we give the proof of the Kastler-Kalau-Walze type theorem for the generalized Zhang’s operator on 4-dimensional oriented compact manifolds with (resp. without) boundary. In this paper, we give the proof of the Kastler-Kalau-Walze type theorem for the generalized Zhang’s operator on 6-dimensional oriented compact manifolds with boundary.

    Full Text PDF

Current Issue

September, 2024
Vol.61 No.5

Current Issue
Archives

Most Read

more +

Most Downloaded

more +

Editorial Office

✕

BKMS