Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces

Miroljub Jevtić graduated and received his Ph.D. from the University of Belgrade, where he was a Professor of Mathematical Analysis and a Principal Investigator on several research grants until his recent retirement. He has also spent three semesters as a visiting professor at the University of Wisconsin in Madison. He has published over 75 research papers, including 50 in indexed journals. His research involves real, functional, harmonic, and complex analysis (both in one and several variables), primarily in relation to the Hardy and Bergman spaces of analytic functions. Dragan Vukotić graduated from the University of Belgrade, where he was also a Teaching Assistant, and received his Ph.D. from the University of Michigan, Ann Arbor. After a year at Northwestern University he switched to Universidad Autónoma de Madrid. He was also an adjunct member of the ICMAT Institute in Madrid and a visiting scholar at the Mittag-Leffler Institut. He hasbeen a Principal Investigator on several research grants in Spain. He has authored more than 40 research papers, together with coauthors from various countries, on geometric function theory, spaces of analytic functions, and the operators that act on them. Miloš Arsenović graduated from the University of Belgrade and received his Ph.D from the University of California, Berkeley. After holding a postdoctoral position at Yale University, he is currently a Professor of Mathematics at the University of Belgrade. Having published more than 30 research papers, his research interests include function spaces, geometric function theory, and harmonic analysis.

• 1 Basic Spaces. Multipliers.- 2 The Poisson Integral.- 3 Subharmonic and h-subharmonic Functions.- 4 Hardy Spaces of Analytic Functions.- 5 Carleson Measures, Mean Oscillation Spaces and Duality.- 6 Polynomial Approximation and Taylor Coefficients of Hp Functions.- 7 The Mixed Norm Spaces Hp,q,α.- 8 Hp,q,α as a Sequence Space.- 9 Tensor Products and Multipliers.- 10 Duality and Multipliers.- 11 Multipliers From Hp and Hp,q,α Spaces to ℓs.- 12 Multiplier Spaces (Hp,q,α,Hu,v,β) and (Hp,Hu).- 13 Multipliers of Some Large Spaces of Analytic Functions.- 14 The Hilbert Matrix Operator.