• Title/Summary/Keyword: Function space

검색결과 4,444건 처리시간 0.029초

HARMONIC CONJUGATES OF WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES

  • Nam, Kye-Sook;Yi, Heung-Su
    • 대한수학회논문집
    • /
    • 제18권3호
    • /
    • pp.449-457
    • /
    • 2003
  • On the setting of the upper half-space of the Euclidean space $R^{n}$, we show that to each weighted harmonic Bergman function $u\;\epsilon\;b^p_{\alpha}$, there corresponds a unique conjugate system ($upsilon$_1,…, $upsilon_{n-1}$) of u satisfying $upsilon_j{\epsilon}\;b^p_{\alpha}$ with an appropriate norm bound.

HARMONIC OPERATORS IN $L^p(V N(G))$

  • Lee, Hun Hee
    • 충청수학회지
    • /
    • 제25권2호
    • /
    • pp.319-329
    • /
    • 2012
  • For a norm 1 function ${\sigma}$ in the Fourier-Stieltjes algebra of a locally compact group we define the space of ${\sigma}$-harmonic operators in the non-commutative $L^p$-space associated to the group von Neumann algebra of G. We will investigate some properties of the space and will obtain a precise description of it.

THE HENSTOCK-PETTIS INTEGRAL OF BANACH SPACE-VALUED FUNCTIONS

  • Park, Jae Myung;Lim, Jong Tae;Kim, Young Kuk
    • 충청수학회지
    • /
    • 제19권3호
    • /
    • pp.231-236
    • /
    • 2006
  • In this paper, we study the Henstock-Pettis integral of Banach space-valued functions mapping an interval [0, 1] in R into a Banach space X. In particular, we show that a Henstock integrable function on [0, 1] is Henstock-Pettis integrable on [0, 1] and a Pettis integrable function is Henstock-Pettis integrable on [0, 1].

  • PDF

DUALITIES OF VARIABLE ANISOTROPIC HARDY SPACES AND BOUNDEDNESS OF SINGULAR INTEGRAL OPERATORS

  • Wang, Wenhua
    • 대한수학회보
    • /
    • 제58권2호
    • /
    • pp.365-384
    • /
    • 2021
  • Let A be an expansive dilation on ℝn, and p(·) : ℝn → (0, ∞) be a variable exponent function satisfying the globally log-Hölder continuous condition. Let Hp(·)A (ℝn) be the variable anisotropic Hardy space defined via the non-tangential grand maximal function. In this paper, the author obtains the boundedness of anisotropic convolutional ��-type Calderón-Zygmund operators from Hp(·)A (ℝn) to Lp(·) (ℝn) or from Hp(·)A (ℝn) to itself. In addition, the author also obtains the duality between Hp(·)A (ℝn) and the anisotropic Campanato spaces with variable exponents.

Generalized Fourier-Feynman Transform of Bounded Cylinder Functions on the Function Space Ca,b[0, T]

  • Jae Gil Choi
    • Kyungpook Mathematical Journal
    • /
    • 제64권2호
    • /
    • pp.219-233
    • /
    • 2024
  • In this paper, we study the generalized Fourier-Feynman transform (GFFT) for functions on the general Wiener space Ca,b[0, T]. We establish an explicit evaluation formula for the analytic GFFT of bounded cylinder functions on Ca,b[0, T]. We start by examining certain cylinder functions which belong in a Banach algebra of bounded functions on Ca,b[0, T]. We then obtain an explicit formula for the analytic GFFT of the bounded cylinder functions.

FIXED POINTS FOR S-CONTRACTIONS OF TYPE E ON S-METRIC SPACES

  • Thangjam Bimol;N. Priyobarta;Yumnam Rohen;Kumam Anthony Singh
    • Nonlinear Functional Analysis and Applications
    • /
    • 제29권3호
    • /
    • pp.635-648
    • /
    • 2024
  • In this paper, we extend the concept of S-contractions of type E in an S-metric space. Further, by combining simulation function and S-contractions of type E, we examine the existence and uniqueness of fixed point in a complete S-metric space. Sufficient examples are provided and application to the solution of integral equation is also made.

A Study on the Deriving Requirements of ARGO Operation System

  • Seo, Yoon-Kyung;Rew, Dong-Young;Lim, Hyung-Chul;Park, In-Kwan;Yim, Hong-Suh;Jo, Jung-Hyun;Park, Jong-Uk
    • Journal of Astronomy and Space Sciences
    • /
    • 제26권4호
    • /
    • pp.643-650
    • /
    • 2009
  • Korea Astronomy and Space Science Institute (KASI) has been developing one mobile and one stationary SLR system since 2008 named as ARGO-M and ARGO-F, respectively. KASI finished the step of deriving the system requirements of ARGO. The requirements include definitions and scopes of various software and hardware components which are necessary for developing the ARGO-M operation system. And the requirements define function, performance, and interface requirements. The operation system consisting of ARGO-M site, ARGO-F site, and Remote Operation Center (ROC) inside KASI is designed for remote access and the automatic tracking and control system which are the main operation concept of ARGO system. To accomplish remote operation, we are considering remote access to ARGO-F and ARGO-M from ROC. The mobile-phone service allows us to access the ARGO-F remotely and to control the system in an emergency. To implement fully automatic tracking and control function in ARGO-F, we have investigated and described the requirements about the automatic aircraft detection system and the various meteorological sensors. This paper addresses the requirements of ARGO Operation System.

Main-Sequence Luminosity Function of M13

  • Yim, Hong-Suh;Byun, Yong-Ik;Sohn, Young-Jong;Chun, Mun-Suk
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
    • /
    • 한국우주과학회 2000년도 한국우주과학회보 제9권1호
    • /
    • pp.28-28
    • /
    • 2000
  • No Abstract, See Full Text

  • PDF

A Finsler space with a special metric function

  • Park, Hong-Suh;Lee, Il-Young
    • 대한수학회논문집
    • /
    • 제11권2호
    • /
    • pp.415-421
    • /
    • 1996
  • In this paper, we shall find the conditions that the Finsler space with a special $(\alpha,\beta)$-metric be a Riemannian space and a Berwald space.

  • PDF