Abstract
We extend the new class of Euclidean weights constructed by Bongioanni et al. (J Math Anal Appl 373:563–579, 2011) to the setting of Heisenberg groups. Then we show that various well-known operators are bounded on the corresponding new weighted Lebesgue spaces. The process of proving these results produces several interesting estimates of independent interest.
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This research is funded by University of Economics Ho Chi Minh City, Vietnam.
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Trong, N.N., Trung, N.X.V., Truong, L.X. et al. A new class of weights associated with Schrödinger operator on Heisenberg groups and applications. Anal.Math.Phys. 14, 25 (2024). https://doi.org/10.1007/s13324-024-00886-2
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DOI: https://doi.org/10.1007/s13324-024-00886-2