A new class of weights associated with Schrödinger operator on Heisenberg groups and applications. (English) Zbl 1542.35136
Summary: We extend the new class of Euclidean weights constructed by B. Bongioanni et al. [J. Math. Anal. Appl. 373, No. 2, 563–579 (2011; Zbl 1203.42029)] 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.
MSC:
| 35J10 | Schrödinger operator, Schrödinger equation |
| 35R03 | PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. |
Citations:
Zbl 1203.42029References:
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