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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 4
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Original Articles

Lp-Norm inequality of the product of pseudo-differential operators involving Hankel transformation

Pages 415-428 | Published online: 25 Jan 2007

References

  • Betancor, J. J. and Marrero, I. (1993) Structure and convergence in certain spaces of distributions and the generalized Hankel convolutions. Math. Japan, 38:6, pp. 1141-1155.
  • Betancor, J. J. and Marrero, I. (1993) The Hankel convolution and the Zemanian space. Mathematische Nachrichten, 160, pp. 277-298.
  • Kohn, J. J. and Nirenberg, L. (1965) An algebra of pseudo-differential operators. Communications on Pure and Applied Mathematics, 18, pp. 269-303.
  • Pathak, R. S. (1997) Integral Transforms of Generalized Functions and Their Applications; Gordon and Breach Publishers
  • Pathak, R. S. and Pandey, P. K. (1995) A class of pseudo-differential operators associated with the Bessel operator. Journal of Mathematical Analysis and Applications, 196, pp. 736-747.
  • Pathak, R. S. and Pandey, P. K. (1997) Sobolev type spaces associated with Bessel operator. Journal of Mathematical Analysis and Applications, 215, pp. 95-111.
  • Pathak, R. S. and Upadhyay, S. K. (1997) Pseudo-differential operators involving Hankel transformation. Journal of Mathematical Analysis and Applications, 213, pp. 133-147.
  • Pathak, R. S. and Upadhyay, S. K. (2001) -boundedness of the pseudo-differential operator associated with Bessel operator. Journal of Mathematical Analysis and Applications, 257, pp. 141-153.
  • Pathak, R. S. , Shrestha, K. K. and Pandey, P. K. (2000) Minimal and maximal pseudo-differential operators associated with the Bessel operator. Progress in Mathematics, 34, pp. 133-146.
  • Schwartz, L. (1978) Theories des Distributions; Hermann, Paris
  • Wong, M. W. (1999) Introduction to Pseudo-differential Operators; World Scientific, Singapore
  • Zaidman, S. (1972) Pseudo-differential operators. Annali di Matematica Pura ed Applicata, 92:4, pp. 345-399.
  • Zaidman, S. (1991) Distributions and Pseudo-differential Operator; Longman, EssexEngland
  • Zemanian, A. H. (1968) Generalized Integral Transformations; Interscience Publishers, New York

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