Research ArticleNo Access

Boundedness of integral operators associated with the Kontorovich–Lebedev transform in the Lebesgue spaces type

Anis Kroumi

Faculty of Sciences of Bizerte, University of Carthage, Tunisia

https://doi.org/10.1142/S1793557121500819Cited by:1 (Source: Crossref)

Abstract

In this paper, we prove the boundedness for the maximal and fractional maximal operators and Riesz potential-type operator associated with the Kontorovich–Lebedev transform (KL transform)in the $L^{p} (ℝ_{+}, x^{- β} d x)$ spaces.

Communicated by H. M. Srivastava

Keywords:

AMSC: 42A38, 33C10, 42B25, 44A35

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