WebHARDY SOBOLEV SPACES ON THE UNIT BALL HONG RAE CHO∗ AND KEHE ZHU ABSTRACT. We study two classes of holomorphic functions in the unit ball Bn of Cn: mean Lipschitz spaces and Hardy Sobolev spaces. Main results include new characteriza-tions in terms of fractional radial differential operators and various comparisons between these … WebThis unified treatment covers all classical Bergman spaces, Besov spaces, Lipschitz spaces, the Bloch space, the Hardy space H 2, and the so-called Arveson space. Some of our …
Title: Theory of Bergman Spaces in the Unit Ball of $C^n$
WebMay 1, 2009 · On operator from the logarithmic Bloch-type space to the mixed-norm space on the unit ball. Applied Mathematics and Computation, Vol. 215, Issue. 12, p. 4248. CrossRef; ... Composition operators from the Hardy space to the nth weighted-type space on the unit disk and the half-plane. Applied Mathematics and Computation, Vol. 215, … WebApr 11, 2024 · Let \(\mathbb{B}_{E}\) be a bounded symmetric domain realized as the unit open ball of JB*-triples. The authors will characterize the bounded weighted composition operator from the Bloch space \(\cal{B}(\mathbb{B}_{E})\) to weighted Hardy space \(H_{v}^{\infty}(\mathbb{B}_{E})\) in terms of Kobayashi distance. The authors also give a … branford cove
Area operators on Hardy spaces in the unit ball of Cn
WebLet X be a finite or infinite dimensional complex Banach space. We characterize the bounded weighted composition operators between the Bloch type space and the Hardy … WebSep 1, 2024 · For a pointwise multiplier φ of the Hardy–Sobolev space H β 2 on the open unit ball B n in C n, we study spectral properties of the multiplication operator M φ: H β 2 → H β 2. In particular, we compute the spectrum and essential spectrum of M φ and develop the Fredholm theory for these operators. WebFor spaces of holomorphic functions on the open unit disk, the Hardy space H2 consists of the functions f whose mean square value on the circle of radius r remains bounded as r → 1 from below. More generally, the Hardy space Hp for 0 < p < ∞ is the class of holomorphic functions f on the open unit disk satisfying. This class Hp is a vector ... haircuts springfield il