• 대한수학회보
• /
• 제59권6호
• /
• pp.1539-1555
• /
• 2022

In this paper, we establish the boundedness and continuity for variation operators for θ-type Calderón-Zygmund singular integrals and their commutators on the Triebel-Lizorkin spaces. As applications, we obtain the corresponding results for the Hilbert transform, the Hermit Riesz transform, Riesz transforms and rough singular integrals as well as their commutators.

• 대한수학회보
• /
• 제61권4호
• /
• pp.1053-1066
• /
• 2024

In this paper, we study the boundedness of the commutator H^b_Ω formed by the rough Hardy operator H_Ω and a locally integrable function b from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness of H^b_Ω on central Morrey spaces is also established.

• 충청수학회지
• /
• 제26권4호
• /
• pp.869-878
• /
• 2013

We study boundedness of solutions of dynamic equations on time scales by using Lyapunov-type functions.

• 대한수학회지
• /
• 제43권2호
• /
• pp.283-296
• /
• 2006

In this paper we weaken the kernel conditions of bilinear Calderon-Zygmund operators and prove boundedness on Besov spaces.

• 충청수학회지
• /
• 제20권4호
• /
• pp.561-568
• /
• 2007

In this paper, we improve the results of [9] and give an application to boundedness of the solutions of nonlinear integro-differential equations.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제22권2호
• /
• pp.145-158
• /
• 2015

In this paper, we investigate h-stability and boundedness for solutions of the functional perturbed differential systems using the notion of t_∞-similarity.

• Kyungpook Mathematical Journal
• /
• 제46권3호
• /
• pp.315-328
• /
• 2006

In this paper, the Boundedness for the multilinear Littlewood-Paley operator on certain Hardy and Herz-Hardy spaces are obtained.

• 대한수학회논문집
• /
• 제21권4호
• /
• pp.631-640
• /
• 2006

In this paper, we prove sufficient conditions of boundedness of maximal operators on the p-adic vector space. We also consider weighted Hardy-Littlewood averages on the p-adic vector space.

• Journal of applied mathematics & informatics
• /
• 제18권1_2호
• /
• pp.229-234
• /
• 2005

The boundedness, global attractivity, oscillatory and asymptotic periodicity of the positive solutions of the difference equation of the form $x_{n+l} =\alpha+\frac{x_{n-1}^{p}}{x_{n}^{p}},\;\; n = 0, 1, ...$ is investigated, where all the coefficients are nonnegative real numbers.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제19권2호
• /
• pp.189-195
• /
• 2015

The goal of this note is to provide a detailed proof for local boundedness estimate near the boundary for weak solutions for second order elliptic equations with bounded measurable coefficients subject to Neumann boundary condition.