Proves a Bloom inequality for the off-diagonal commutator of fractional integrals I_λ1 and I_λ2 in mixed-norm weighted spaces L^{p2}(L^{p1}) to L^{q2}(L^{q1}) under A_{p,q} weight conditions.
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math.CA 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
Establishes boundedness of commutators of potential operators on variable Lebesgue spaces under generalized Fefferman-Phong weight conditions, extended to power bumps, Musielak-Orlicz norms, and Lipschitz symbols.
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Bloom Type Inequality: The Off-diagonal Case
Proves a Bloom inequality for the off-diagonal commutator of fractional integrals I_λ1 and I_λ2 in mixed-norm weighted spaces L^{p2}(L^{p1}) to L^{q2}(L^{q1}) under A_{p,q} weight conditions.
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Commutators of potential type operators with Lipschitz symbols on variable Lebesgue spaces with different weights
Establishes boundedness of commutators of potential operators on variable Lebesgue spaces under generalized Fefferman-Phong weight conditions, extended to power bumps, Musielak-Orlicz norms, and Lipschitz symbols.