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Boundedness of some singular integrals operators in weighted generalized Grand Lebesgue spaces

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Abstract

If \(I\subset {\mathbb {R}}\) is a bounded interval, we prove the boundedness of Calderón singular operator and of Hardy-Littlewood Maximal operator in the generalized weighted Grand Lebesgue spaces \(L_p^{p),{\delta }}(I)\), \(1<p<\infty \).

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  1. Istituto per le Applicazioni del Calcolo “Mauro Picone”, sezione di Napoli, Consiglio Nazionale delle Ricerche, via Pietro Castellino 111, 80131, Naples, Italy

    Claudia Capone

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  1. Claudia Capone
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Correspondence to Claudia Capone.

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This paper has been partially supported by INdAM/GNAMPA.

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Capone, C. Boundedness of some singular integrals operators in weighted generalized Grand Lebesgue spaces. Ricerche mat 71, 109–120 (2022). https://doi.org/10.1007/s11587-021-00564-6

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  • DOI: https://doi.org/10.1007/s11587-021-00564-6

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