Table of Contents
Chinese Journal of Mathematics
Volume 2014, Article ID 984280, 7 pages
http://dx.doi.org/10.1155/2014/984280
Research Article

Wavelets Convergence and Unconditional Bases for and

Department of Mathematics, Faculty of Science, Al-Baha University, P.O. Box 1988, Al-Aqiq, Al-Baha 65431, Saudi Arabia

Received 25 October 2013; Accepted 16 December 2013; Published 6 February 2014

Academic Editors: Z. Wang and J. Zhang

Copyright © 2014 Devendra Kumar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. M. Young, An Introduction to Nonharmonic Fourier Series, vol. 93, Academic Press, New York, NY, USA, 1980. View at MathSciNet
  2. J. Duoandikoetxea, Fourier Analysis, vol. 29 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, USA, 2001. View at MathSciNet
  3. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, NJ, USA, 1970. View at MathSciNet
  4. J. Mateu and J. Verdera, “Lp and weak L1 estimates for the maximal Riesz transform and the maximal Beurling transform,” Mathematical Research Letters, vol. 13, no. 5-6, pp. 957–966, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. C. Thiele, Wave Packet Analysis, vol. 105 of CBMS Regional Conference Series in Mathematics, 2006. View at MathSciNet
  6. D. L. Burkholder, “Martingales and Fourier analysis in Banach spaces,” in Probability and Analysis, G. Letta and M. Pratelli, Eds., vol. 1206 of Lecture Notes in Mathematics, pp. 61–108, Springer, Berlin, Germany, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. T. Hytönen, “Vector-valued wavelets and the Hardy space H1(n,X),” Studia Mathematica, vol. 172, no. 2, pp. 125–147, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. T. Figiel, “Singular integral operators: a martingale approach,” in Geometry of Banach Spaces, P. F. X. Moller and W. Schachermayer, Eds., vol. 158 of London Mathematical Society Lecture Note Series, pp. 95–110, Cambridge University Press, Cambridge, Mass, USA, 1990. View at Google Scholar · View at MathSciNet
  9. E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, vol. 43, Princeton University Press, Princeton, NJ, USA, 1993. View at MathSciNet
  10. E. Hernández and G. Weiss, A First Course on Wavelets, CRC Press, Boca Raton, Fla, USA, 1996. View at Publisher · View at Google Scholar · View at MathSciNet
  11. Y. Meyer, Wavelets and Operators, vol. 37, Cambridge University Press, Cambridge, Mass, USA, 1992. View at MathSciNet
  12. P. Wojtaszczyk, “The Franklin system is an unconditional basis in H1,” Arkiv för Matematik, vol. 20, no. 2, pp. 293–300, 1982. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet