Generalized singular integral on Carleson curves in weighted grand Lebesgue spaces

DOI10.1016/j.trmi.2016.07.004zbMath1354.30040OpenAlexW2492258854MaRDI QIDQ325104

Vakhtang Kokilashvili, Vakhtang Paatashvili, Alexander Meskhi

Publication date: 17 October 2016

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2016.07.004

zbMATH Keywords

generalized analytic functionsCarleson curvesVekua's generalized singular integralweighted grand Lebesgue spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Cites Work

• On the integrability of the Jacobian under minimal hypotheses
• Inverting the \(p\)-harmonic operator
• The maximal theorem for weighted grand Lebesgue spaces
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