Weighted Boundedness of a Composition of Paraproducts

2025/11/06 by Čolović, Ana
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Inequalities and Applications

paper · doi:10.48550/arxiv.2511.04756

openalex publication_date 2025/11/06 · openalex created_date 2025/11/11 · openalex updated_date 2026/07/28

Abstract

In this paper we offer alternate upper bound for the operator Π_b^*Π_d to the ones present in literature, thus extending the known upper bounds from the L²(ℝ) setting to L^p(w), for 1

Citations

• Paraproducts, Bloom BMO and Sparse BMO Functions

Related

• Boundedness of dyadic paraproducts on matrix weighted L^p
• Boundedness of a composition of dyadic paraproducts
• Weighted L^p→ L^q-boundedness of commutators and paraproducts in the Bloom setting
• Paraproducts, Bloom BMO and Sparse BMO Functions
• Two weight L^p estimates for paraproducts in non-homogeneous settings