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Student Number 942201011
Author Chang-sheng Kuan(官長昇)
Author's Email Address No Public.
Statistics This thesis had been viewed 1186 times. Download 449 times.
Department Mathematics
Year 2007
Semester 2
Degree Master
Type of Document Master's Thesis
Language zh-TW.Big5 Chinese
Title The discrete version of Calderón reproducing formula
Date of Defense 2008-06-06
Page Count 17
Keyword
  • Calderón reproducing formula
  • Abstract The continuous version of Calderón reproducing formula
                         
    converges in L^2 and converges pointwise on R^n .
    In this article, we prove three theorems.
    (i) the discrete version of Calderón reproducing formula
           
    converges in L^2 ;
    (ii) the discrete version of Calderón reproducing formula
    converges pointwise on R^n;
    (iii) the discrete version of Calderón reproducing formula
    converges in L^2_ω where ω is A_2.
    Table of Content 摘要                 i
    Abstract              ii
    致謝                iii
    目錄                iv
    引言                 1
    預備知識               3
    離散型Calderón表示定理的收斂性    6
    參考文獻              17
    Reference [1] Calderon, Intermediate spaces and interpolation,
    the complex method,
    Studia math., 24, 113-190, (1964).
    [2] J. Garcia-Cuerva and J. M. Martell,
    Wavelet Characterization of Weighted Spaces,
    J. Geom. Anal., 11, 241-264, (2001).
    [3] J. Garcia-Cuerva and J. L. Rubio de Francia,
    Weighted Norm Inequalities and Related Topics,
    North Holland, (1985).
    [4] J.-O. Stromerg and Torchinsky,
    Weighted Hardy Spaces,
    Lecture Notes in Math, 1381, Springer-Verlag,
    Berlin/New York, (1989).
    [5] M. Frazier, B. Jawerth, and G. Weiss,
    Littlewood-Paley Theory and the Study of Function Spaces, CBMS Regional Conference Series 79, A.M.S.,
    Providence, RI, 1991.
    [6] M. Frazier, and B. Jawerth,
    Decomposition of Besov Spaces,
    Indiana Univ. Math. J., 34, 777-799, (1985).
    Advisor
  • Ming-Yi Lee(李明憶)
  • Files
  • 942201011.pdf
  • approve immediately
    Date of Submission 2008-06-12

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