论文标题
临时性，Bloom BMO和稀疏BMO功能
Paraproducts, Bloom BMO and Sparse BMO Functions
论文作者
论文摘要
我们解决$ l^p（μ）\ rightarrow l^p（λ）$ bounds in Bloom设置中的副群。 We introduce certain "sparse BMO" functions associated with sparse collections with no infinitely increasing chains, and use these to express sparse operators as sums of paraproducts and martingale transforms -- essentially, as Haar multipliers -- as well as to obtain an equivalence of norms between sparse operators $\mathcal{A}_\mathcal{S}$ and compositions of paraproducts $π^*_aπ_b$。
We address $L^p(μ)\rightarrow L^p(λ)$ bounds for paraproducts in the Bloom setting. We introduce certain "sparse BMO" functions associated with sparse collections with no infinitely increasing chains, and use these to express sparse operators as sums of paraproducts and martingale transforms -- essentially, as Haar multipliers -- as well as to obtain an equivalence of norms between sparse operators $\mathcal{A}_\mathcal{S}$ and compositions of paraproducts $Π^*_aΠ_b$.
