Weighted Hardy spaces on the unit disk

2014/09/04 by Shrestha, K. R.
Mathematics · #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1409.1311

openalex publication_date 2014/09/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we mainly discuss three things. First, there is no canonical norm on the space H^p_u(\mathbbD). Second, we improve the weak-* convergence of the measures μ_u,r. Third, the dilations f_t of the function f∈ H^p_u(\mathbbD) converge to f in H^p_u-norm and hence the polynomials are dense in H^p_u(\mathbbD).

Citations

• Boundary Values Properties of Functions in Weighted Hardy Spaces

Related

• On weighted Hardy spaces on the unit disk
• Boundary Values Properties of Functions in Weighted Hardy Spaces
• Structure of weighted Hardy spaces in the plane
• Optimal Polynomial Approximants in H^p
• On weak^*-convergence in the Hardy space H¹ over spaces of homogeneous type