• Title, Summary, Keyword: multiplier spaces

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A FOURIER MULTIPLIER THEOREM ON THE BESOV-LIPSCHITZ SPACES

  • Cho, Yong-Kum;Kim, Dohie
    • Korean Journal of Mathematics
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    • v.16 no.1
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    • pp.85-90
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    • 2008
  • We consider Fourier multiplier operators whose symbols satisfy a generalization of $H{\ddot{o}}rmander^{\prime}s$ condition and establish their Sobolev-type mapping properties on the homogeneous Besov-Lipschitz spaces by making use of a continuous characterization of Besov-Lipschitz spaces. As an application, we derive Sobolev-type imbedding theorem.

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Paranormed I-convergent Double Sequence Spaces Associated with Multiplier Sequences

  • Tripathy, Binod Chandra;Sen, Mausumi
    • Kyungpook Mathematical Journal
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    • v.54 no.2
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    • pp.321-332
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    • 2014
  • In this article we introduce different types of multiplier I-convergent double sequence spaces. We study their different algebraic and topological properties like solidity, symmetricity, completeness etc. The decomposition theorem is established and some inclusion results are proved.

CONTINUOUS CHARACTERIZATION OF THE TRIEBEL-LIZORKIN SPACES AND FOURIER MULTIPLIERS

  • Cho, Yong-Kum
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.839-857
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    • 2010
  • We give a set of continuous characterizations for the homogeneous Triebel-Lizorkin spaces and use them to study boundedness properties of Fourier multiplier operators whose symbols satisfy a generalization of H$\ddot{o}$rmander's condition. As an application, we give new direct proofs of the imbedding theorems of the Sobolev type.

Bounded multiplier convergent series and its applications

  • Li, Rong-Lu;Cho, Min-Hyung
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.2
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    • pp.215-220
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    • 1992
  • Using a matrix method, pp. Antosik and C. Swartz have obtained a series of nice properties of bounded multiplier convergent (BMC) series on metric linear spaces ([1],[8],[9]). In this paper, we establish a basic property of BMC series on topological vector spaces which is a generalization of a result due to J. Batt([2], Th.2). From this, we have obtained a kind of inclusion theorem of operator spaces. This theorem yields a nice result on infinite systems of linear equations.

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MULTIPLIERS OF WEIGHTED BLOCH SPACES AND BESOV SPACES

  • Yang, Gye Tak;Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.4
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    • pp.727-737
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    • 2009
  • Let M(X) be the space of all pointwise multipliers of Banach space X. We will show that, for each $\alpha>1$, $M(\mathfrak{B}_\alpha)=M(\mathfrak{B}_{\alpha,0})=H^\infty{(B)}$. We will also show that, for each $0<{\alpha}<1$, $M(\mathfrak{B}_\alpha)$ and $M(\mathfrak{B}_{\alpha,0})$ are Banach algebras. It is established that certain inclusion relationships exist between the weighted Bloch spaces and holomorphic Besov spaces.

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Multipliers on the dirichlet space $D(Omega)$

  • Nah, Young-Chae
    • Communications of the Korean Mathematical Society
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    • v.10 no.3
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    • pp.633-642
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    • 1995
  • Recently S. Axler proved that every sequence in the unit disk U converging to the boundary contains an interpolating subsequence for the multipliers of the Dirichlet space D(U). In this paper we generalizes Axler's result to the finitely connected planer domains such that the Dirichlet spaces are contained in the Bergman spaces.

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INVARIANTS WITH RESPECT TO ALL ADMISSIBLE POLAR TOPOLOGIES

  • Cho, Min-Hyung;Hwang, Hong Taek
    • Korean Journal of Mathematics
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    • v.7 no.1
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    • pp.45-51
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    • 1999
  • Let X and Y be topological vector spaces. For a sequence {$T_j$} of bounded operators from X into Y the $c_0$-multiplier convergence of ${\sum}T_j$ is an invariant on topologies which are stronger (need not strictly) than the topology of pointwise convergence on X but are weaker (need not strictly) than the topology of uniform convergence on bounded subsets of X.

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Analysis Ripple Effect for Physical Promotion in Connection with Local Cultural Contents: Primarily based on Specialized Streets (지역 문화콘텐츠의 물리적 홍보 파급효과 분석 -특화거리를 중심으로-)

  • Shon, Sang-Hee
    • The Journal of the Korea Contents Association
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    • v.16 no.3
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    • pp.33-42
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    • 2016
  • Utilization of cultural contents is more and more increasing as it is believed to improve local problems and provide historical values. This kind of business is positive in terms of the fact that it attracts visitors into local areas and activate local commercial areas. Under this trend, the construction of specialized streets is required to be approached with first priority to solve problems of cities. So to speak, it's more important to solve intrinsic problems found in local communities and then approach cultural contents step-by-step rather than constructing new spaces with first priority. Moreover, cultural contents should accompany economic aspects which result in local community-friendly and sympathetically concentrated values. Under this sentiment, the efforts to suggest economic ripple effects for government local government's businesses using cultural contents are very important. This study analyzed how much economic ripple effects is yielded by reflecting cultural contents. As the result of analysis, specialized street with cultural contents applied are proved to be more concentrated on multiplier of expediting employment, income and tax and tourism industry than service industry. On the contrary to this, service industry showed more concentrated multiplier of expediting production, income, added values and chain reaction effect (coefficients for influence and sensitivity for front and rear side of tourism industry. Based on these results, construction of specialized streets with cultural contents applied is proved to help synergy effects for local economy.