On inversion of H -transform in 𝔏 v, r -space

Sergei A. Shlapakov, Megumi Saigo and Anatoly A. Kilbas

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-10

Abstract:

The paper is devoted to study the inversion of the integral transform ( H f ) ( x ) = ∫ 0 ∞ H p , q m , n [ x t | ( a i , α i ) 1 , p ( b j , β j ) 1 , p | ] f ( t ) d t involving the H -function as the kernel in the space 𝔏 v , r of functions f such that ∫ 0 ∞ | t υ f ( t ) | r d t t < ∞ ( 1 < r < ∞ , ν ∈ ℝ ) .

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:417367

DOI: 10.1155/S0161171298000994

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