WEIGHTED INEQUALITIES FOR THE LAPLACE TRANSFORM

Yves Rakotondratsimba

doi:10.55937/sut/991983758

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Home > Journals > SUT J. Math. > Volume 34 > Issue 1 > Article

January 1998 WEIGHTED INEQUALITIES FOR THE LAPLACE TRANSFORM

Yves Rakotondratsimba

Author Affiliations +

Yves Rakotondratsimba¹
¹Institut polytechnique St Louis, EPMI 13 bd de l’Hautil 95 092 Cergy Pontoise France

SUT J. Math. 34(1): 37-48 (January 1998). DOI: 10.55937/sut/991983758

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Abstract

Necessary conditions and sufficient conditions are given in order that the Laplace Transform is bounded between two Lebesgue spaces with weights. Such a boundedness is characterized for a large class of weights.

Acknowledgement

The author would like to thank the referee for his suggestions on improve ments of some results in the preliminary version of this work

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Yves Rakotondratsimba. "WEIGHTED INEQUALITIES FOR THE LAPLACE TRANSFORM." SUT J. Math. 34 (1) 37 - 48, January 1998. https://doi.org/10.55937/sut/991983758