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Weighted estimates for Bochner–Riesz operators on Lorentz spaces
- Part of
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- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 2 / April 2023
- Published online by Cambridge University Press:
- 28 February 2022, pp. 654-678
- Print publication:
- April 2023
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- Article
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We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely $T$
is bounded on $L^{p}(v)$
for every $v$
in an strictly smaller class of weights than the Muckenhoupt class $A_p$
. Important examples will be the Bochner–Riesz operators $BR_\lambda$
with $0<\lambda <{(n-1)}/2$
, sparse operators, Hörmander multipliers with a limited regularity condition and rough operators with $\Omega \in L^{r}(\Sigma )$
, $1 < r < \infty$
.
