Schwarz Problems for Poly-Hardy Space on the Unit Ball
Sign Up to like & getrecommendations! Published in 2017 at "Results in Mathematics"
DOI: 10.1007/s00025-016-0575-2
Abstract: In this paper we study the Schwarz boundary value problems $${\big(}$$( for short BVP$${\big)}$$) for the poly-Hardy space defined on the unit ball of higher dimensional Euclidean space $${\mathbb{R}^n}$$Rn . We first discuss the boundary… read more here.
Keywords: unit ball; hardy space; poly hardy; unit ... See more keywords
Riemann–Hilbert Problems for Hardy Space of Meta-Analytic Functions on the Unit Disc
Sign Up to like & getrecommendations! Published in 2018 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-017-0705-1
Abstract: The aim of this paper is to study Riemann–Hilbert problems for Hardy space of a class of meta-analytic functions defined on the unit disc. Here, the meta-analytic functions we focus on are null-solutions to a… read more here.
Keywords: hardy space; meta analytic; unit disc; analytic functions ... See more keywords
Toeplitz Operators Associated with Measures and the Dixmier Trace on the Hardy Space
Sign Up to like & getrecommendations! Published in 2020 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-020-00988-2
Abstract: Let $$\mu $$ μ be a regular Borel measure on the open unit ball B in $$\mathbf{C}^n$$ C n . By a natural formula, it gives rise to a Toeplitz operator $$T_\mu $$ T μ… read more here.
Keywords: dixmier trace; hardy space; toeplitz operators;
On the Taylor Coefficients of Functions in the Hardy Space Over the Bidisc
Sign Up to like & getrecommendations! Published in 2020 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-020-01014-1
Abstract: In this paper we analyze the Taylor coefficients of functions in Hardy spaces on the bidisc. We present the two-dimensional versions of some classical Hardy and Paley inequalities and we find certain conditions on the… read more here.
Keywords: coefficients functions; taylor coefficients; hardy space; functions hardy ... See more keywords
Hardy space estimates for limited ranges of Muckenhoupt weights
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2017.04.018
Abstract: Abstract In this article, we give a full necessary and sufficient set of conditions for a Calderon–Zygmund operator to be bounded on weighted Hardy spaces H w p where w is an Muckenhoupt weight and… read more here.
Keywords: ranges muckenhoupt; limited ranges; spaces coincide; hardy space ... See more keywords
Bilinear decomposition and divergence-curl estimates on products related to local Hardy spaces and their dual spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2020.108796
Abstract: Let $p\in(0,1)$, $\alpha:=1/p-1$ and, for any $\tau\in [0,\infty)$, $\Phi_{p}(\tau):=\tau/(1+\tau^{1-p})$. Let $H^p(\mathbb R^n)$, $h^p(\mathbb R^n)$ and $\Lambda_{n\alpha}(\mathbb{R}^n)$ be, respectively, the Hardy space, the local Hardy space and the inhomogeneous Lipschitz space on $\mathbb{R}^n$. In this article,… read more here.
Keywords: hardy space; phi mathbb; mathbb; local hardy ... See more keywords
The F-composition operator on Hardy space ℍ2
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2021.1884388
Abstract: Abstract The purpose of this paper is to introduce a new operator on Hardy space ℍ2 called the F-composition operator which is generalization of composition operator. Some basic properties of this operator are given in… read more here.
Keywords: operator hardy; operator; hardy space; composition operator ... See more keywords
Composition and multiplication operators on the derivative Hardy space
Sign Up to like & getrecommendations! Published in 2018 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2017.1327955
Abstract: Abstract In this paper we propose a different (and equivalent) norm on which consists of functions whose derivatives are in the Hardy space of unit disk. The reproducing kernel of in this norm admits an… read more here.
Keywords: multiplication operators; hardy space; composition multiplication; space ... See more keywords
Complex symmetry of first-order differential operators on Hardy space
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2020.1736051
Abstract: ABSTRACT Given holomorphic functions and , we consider first-order differential operators acting on Hardy space, generated by the formal differential expression . We characterize these operators which are complex symmetric with respect to weighted composition… read more here.
Keywords: first order; hardy space; differential; differential operators ... See more keywords
Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols
Sign Up to like & getrecommendations! Published in 2021 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2021.1921757
Abstract: In the paper we develop the Gelfand theory for a new class of commutative Banach algebras generated by Toeplitz operators both in the Bergman and the Hardy space cases. We introduce the so-called generalized pseudo-homogeneous… read more here.
Keywords: generalized pseudo; toeplitz operators; pseudo homogeneous; hardy space ... See more keywords
Weak Factorizations of the Hardy Space H 1(ℝ n ) in Terms of Multilinear Riesz Transforms
Sign Up to like & getrecommendations! Published in 2017 at "Canadian Mathematical Bulletin"
DOI: 10.4153/cmb-2017-033-9
Abstract: Abstract This paper provides a constructive proof of the weak factorization of the classical Hardy space ${{H}^{1}}({{\mathbb{R}}^{n}})$ in terms of multilinear Riesz transforms. As a direct application, we obtain a new proof of the characterization… read more here.
Keywords: multilinear riesz; hardy space; riesz transforms; terms multilinear ... See more keywords