Extrapolation in Weighted Classical and Grand Lorentz Spaces. Application to the Boundedness of Integral operators
Vakhtang Kokilashvili, Alexander Meskhi
TL;DR
This paper develops weighted extrapolation theorems in classical and grand Lorentz spaces, enabling the analysis of the boundedness of harmonic analysis operators in these spaces, including diagonal and off-diagonal cases.
Contribution
It introduces new weighted extrapolation results in grand Lorentz spaces, extending the boundedness theory of integral operators beyond traditional settings.
Findings
Weighted boundedness of harmonic analysis operators in grand Lorentz spaces.
Extension of extrapolation theorems to off-diagonal cases.
Unified treatment of classical and grand Lorentz spaces.
Abstract
We establish weighted extrapolation theorems in classical and grand Lorentz spaces. As a consequence we have the weighted boundedness of operators of Harmonic Analysis in grand Lorentz spaces. We treat both cases: diagonal and off-diagonal ones.
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