• Title/Summary/Keyword: {\nu}$)-spaces

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TOEPLITZ OPERATORS ON GENERALIZED FOCK SPACES

  • Cho, Hong Rae
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.711-722
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    • 2016
  • We study Toeplitz operators $T_{\nu}$ on generalized Fock spaces $F^2_{\phi}$ with a locally finite positive Borel measures ${\nu}$ as symbols. We characterize operator-theoretic properties (boundedness and compactness) of $T_{\nu}$ in terms of the Fock-Carleson measure and the Berezin transform ${\tilde{\nu}}$.

DECOMPOSITION SERIES AND SUPRATOPOLOGICAL SERIES OF NEIGHBORHOOD SPACES

  • Park, Sang-Ho
    • East Asian mathematical journal
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    • v.23 no.1
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    • pp.111-122
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    • 2007
  • In this paper, we will show some relations between decomposition series {${\nu}^{\alpha}\;:\;{\alpha}$ is an ordinal } and supratopological series {${\sigma}_{\alpha}{\nu}\;:\;{\alpha}$ is an ordinal} for a neighborhood structure $\nu$ and the formular ${\sigma}_{\alpha}{\nu}\;=\;{\nu}^{({\omega}^{\alpha})}$, where $\omega$ is the first limit ordinal.

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An Analysis of New Urbanism Urban Design Factors in New Town -Case Study on Eunpyung New Town District 1 in Seoul - (국내신도시 사례를 통해서 본 뉴어바니즘 도시설계요소 분석 -서울시 은평뉴타운 1구역을 중심으로-)

  • Na, In-Su
    • Journal of KIBIM
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    • v.11 no.1
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    • pp.31-38
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    • 2021
  • The design principles of new urbanism (NU) have been adopted for new towns-in town projects for inner city neighborhoods in Seoul, Korea Since 2000. Here, ten NU principles were matched to four urban design categories: streets, land use, housing and buildings, and public open spaces. These elements were analyzed for Eunpyung New Town project. Through the case, the applications and implications NU principles are explored. The principles of connectivity, quality architecture and urban design, increased density, green transportation, sustainability, and quality of life were positively and successively adopted for streets, land use, housing and buildings, and public open spaces. The principles of mixed-use and diversity and traditional neighborhood structure were only partially applied in land use, housing and buildings, and public open spaces. It should be note that the walkability principle is intended not for job-housing proximity, but for pedestrian-friendly street design.

ABSTRACT HARMONIC ANALYSIS OVER SPACES OF COMPLEX MEASURES ON HOMOGENEOUS SPACES OF COMPACT GROUPS

  • Farashahi, Arash Ghaani
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1229-1240
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    • 2017
  • This paper presents a systematic study of the abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups. Let G be a compact group and H be a closed subgroup of G. Then we study abstract harmonic analysis of complex measures over the left coset space G/H.

WEKGHTED WEAK TYPE ESTIMATES FOR CERTAIN MAXIMAL OPERATORS IN SPACES OF HOMOGENEOUS TYPE

  • Yoo, Yoon-Jae
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.25-31
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    • 1999
  • Let $\nu$ be a positive Borel measure on a space of homogeneous type (X, d, $\mu$), satisfying the doubling property. A condition on a weight $\omega$ for whixh a maximal operator $M\nu f$(x) defined by M$mu$f(x)=supr>0{{{{ { 1} over {ν(B(x,r)) } INT _{ B(x,r)} │f(y)│d mu (y)}}}}, is of weak type (p,p) with respect to (ν, $omega$), is that there exists a constant C such that C $omega$(y) for a.e. y$\in$B(x, r) if p=1, and {{{{( { 1} over { upsilon (B(x,r) } INT _{ B(x,r)}omega(y) ^ (-1/p-1) d mu (y))^(p-1)}}}} C, if 1$infty$.

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MULTI-VALUED HICKS CONTRACTIONS IN 𝑏-MENGER SPACES

  • Youssef Achtoun;Mohammed Sefian Lamarti;Ismail Tahiri
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.2
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    • pp.477-485
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    • 2024
  • In this work, we will generalize the notion of multivalued (ν, 𝒞)-contraction mapping in 𝑏-Menger spaces and we shall give a new fixed point result of this type of mappings. As a consequence of our main result, we obtained the corresponding fixed point theorem in fuzzy 𝑏-metric spaces. Also, an example will be given to illustrate the main theorem in ordinary 𝑏-metric spaces.

Angular Effect of Virtual Vertices Inserted to Treat The Boundary Edges on an Infinite Conducting Surface

  • Hwang, Ji-Hwan;Kweon, Soon-Koo;Oh, Yisok
    • Journal of electromagnetic engineering and science
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    • v.13 no.1
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    • pp.16-21
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    • 2013
  • This study presents the angular effects of virtual vertices inserted for effective treatment of the boundary edge laid on an infinite conducting surface in a half-space scattering problem. We investigated the angular effects of virtual vertices by first computing the radar cross section (RCS) of a specific scatterer; i.e., a tilted conducting plate in contact with the ground surface, by inserting the virtual vertex in half-space. Here, the electric field integral equation is used to solve this problem with various virtual vertex angles (${\theta}_{\nu}$) and conducting plate inclination angles (${\theta}_r$) ranging from $0^{\circ}$ to $180^{\circ}$. The effects of the angles ${\theta}_{\nu}$ and ${\theta}_r$ on the RCS computation are clearly shown with numerical results with and without the virtual vertices in free- and half-spaces.

WEIGHTED ESTIMATES FOR CERTAIN ROUGH SINGULAR INTEGRALS

  • Zhang, Chunjie
    • Journal of the Korean Mathematical Society
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    • v.45 no.6
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    • pp.1561-1576
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    • 2008
  • In this paper we shall prove some weighted norm inequalities of the form $${\int}_{R^n}\;|Tf(x)|^pu(x)dx\;{\leq}\;C_p\;{\int}_{R^n}\;|f(x)|^pNu(x)dx$$ for certain rough singular integral T and maximal singular integral $T^*$. Here u is a nonnegative measurable function on $R^n$ and N denotes some maximal operator. As a consequence, some vector valued inequalities for both T and $T^*$ are obtained. We shall also get a boundedness result of T on the Triebel-Lizorkin spaces.

SOME RESULTS ON INVARIANT SUBMANIFOLDS OF AN ALMOST KENMOTSU (𝜅, 𝜇, 𝜈)-SPACE

  • ATCEKEN, Mehmet;YUCA, Gulsum
    • Honam Mathematical Journal
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    • v.43 no.4
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    • pp.655-665
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    • 2021
  • In the present paper, we study the geometric properties of the invariant submanifold of an almost Kenmotsu structure whose Riemannian curvature tensor has (𝜅, 𝜇, 𝜈)-nullity distribution. In this connection, the necessary and sufficient conditions are investigated for an invariant submanifold of an almost Kenmotsu (𝜅, 𝜇, 𝜈)-space to be totally geodesic under the behavior of functions 𝜅, 𝜇, and 𝜈.