论文标题

双参数奇异积分的换向估计值

Off-diagonal estimates for commutators of bi-parameter singular integrals

论文作者

Oikari, Tuomas

论文摘要

我们研究混合空间之间双参数奇异积分的换向器的界限 $$ [b,t]:l^{p_1} l^{p_2} \ to l^{q_1} l^{q_2} $$在diagonal情况下$ q_i,p_i \ in(1,\ infty)$,我们还允许$ q_i \ not = p_i。 有界限是针对可集成性指数的几种安排,并提出了一些开放性问题。

We study the boundedness of commutators of bi-parameter singular integrals between mixed spaces $$ [b,T]: L^{p_1}L^{p_2} \to L^{q_1}L^{q_2} $$ in the off-diagonal situation $q_i,p_i\in(1,\infty)$ where we also allow $q_i\not= p_i.$ Boundedness is fully characterized for several arrangements of the integrability exponents with some open problems presented.

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