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Lp-Norm inequality of the product of pseudo-differential operators involving Hankel transformation |
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| Authors: | S K Upadhyay |
| Institution: | H. D. Jain Post Graduate College, Ara (Bihar), India,Communicated by M. W. Wong, |
| Abstract: | Lp-norm type inequalities for pseudo-differential operators L(x,D) and H(x,D) are derived for 1 ≤ p < ∞. Product of pseudo-differential operators associated with Bessel operator Sμ are defined and its Lp-norm type inequalities are obtained. |
| Keywords: | Pseudo-differential operator Bessel operator Hankel transformation Hankel convolution AMS Classifications: 46F12 46E35 35S05 |