Dissertation > Excellent graduate degree dissertation topics show

Volterra type operators in some function spaces on boundedness and compactness

Author: ZhangZuo
Tutor: TanHaiOu
School: Wuyi University
Course: Applied Mathematics
Keywords: B~αspaces Blogαspaces Blog（β,γ） spaces hyperbolic Blog（β,γ） spaces Q_K(p,q) space Volterra operator Volterra_type composition operator boundedness compactness
CLC: O177
Type: Master's thesis
Year: 2011
Downloads: 4
Quote: 0
Read: Download Dissertation

Abstract


In this paper, we introduce a new function space—hyperbolic Blog(β,γ) spaces Blog*(β,γ) by combining the hyperbolic derivative and the Blog(β,γ) spaces, and discuss some characteristic properties of these spaces. We investigate the boundedness and compactness of Volterra operatorφbetween some spaces of function on the unit disk D of the complex plane, the space we considered here mainly contain the Bαspace and Blog(β,γ) space, and we gave the necessary and sufficient conditions for a Volterra-type composition operator from Blogαspaces to QK (p,q) spaces are bounded or compact.

Related Dissertations

  1. Mechanics Characteristic Research on the Blast Furnace Slag Foundation Soil of Panzhihua Iron and Steel Co,TU411.3
  2. To Hyperbolic the Q_ ( T , s ) space and analytic function spaces on operator theory,O177
  3. Space of analytic functions and operator theory,O174
  4. The Existence of Solution for Three Semilinear Elliptic Equations without Compactness,O175.25
  5. A New Integral Operator,O177.6
  6. Existence of Global Attractor for Partly Dissipative Reaction Diffusion System in Unbounded Domain,O175.29
  7. The Effects of Different Conservation Tillage Treatmentson Different Soil Physical Properties in the Winter Wheat Field of Oasis Area,S512.11
  8. The Research of a Compact Repetitive Pulsed Guiding Magnetic Fields Power Supply,O441.2
  9. Products of Extended Cesaro Operator and Composition Operator on Function Spaces,O177
  10. The Weighted Composition Operator on BMOA Space and Bloch-type Space in the Unit Ball,O177
  11. The Exponential Decay for Solutions to Two Non-linear Evolution Equation,O175
  12. C ~ n in the space of holomorphic functions on Cesàro operator and composition operator,O174.52
  13. A Family of Function Spaces and Composition Operators on Them,O177
  14. Weighted Composition Operators from F(p,q,s) to Bloch Type Spaces on the Unit Ball,O177
  15. Extended Ces(?)ro Operators on Certain Holomorphic Function Spaces,O174.5
  16. Some Kinds of Linear Operators on Certain Holomorphic Function Spaces,O177
  17. Products of Composition Operator and Differentiation Operator between Generalized Bloch Spaces,O177
  18. Technology and Dvice Design of Selective Laser Sintering for Engineering Plastics Powder,TF124.5
  19. The Study of Semi-topological Linear Spaces and Its Properties,O189.11
  20. The Study on Normal-Closed、Compactness、Separation in Topology,O189.11

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
© 2012 www.DissertationTopic.Net  Mobile