Hardy type spaces estimates for multilinear fractional integral operators [PDF]
arXivIn this paper, we prove the boundedness of multilinear fractional integral operators from products of Hardy spaces associated with ball quasi-Banach function spaces into their corresponding ball quasi-Banach function spaces. As applications, we establish the boundedness of these operators on various function spaces, including weighted Hardy spaces ...
arxiv
Poletsky-Stessin Hardy Spaces on Complex Ellipsoids in C^n [PDF]
arXiv, 2014 We study Poletsky-Stessin Hardy spaces on complex ellipsoids in C^n. Different from one variable case, classical Hardy spaces are strictly contained in Poletsky-Stessin Hardy spaces on complex ellipsoids so boundary values are not automatically obtained in this case. We have showed that functions belonging to Poletsky-Stessin Hardy spaces have boundary
arxiv
Some trace Hardy type inequalities and trace Hardy-Sobolev-Maz'ya type inequalities [PDF]
arXiv, 2016 We prove a trace Hardy type inequality with the best constant on the polyhedral convex cones which generalizes recent results of Alvino et al. and of Tzirakis on the upper half space. We also prove some trace Hardy-Sobolev-Maz'ya type inequalities which generalize the recent results of Filippas et al..
arxiv
Duality for symmetric Hardy spaces of noncommutative martingales [PDF]
arXiv, 2015 We show the dual spaces of conditional Hardy space and symmetric Hardy space of noncommutative martingales. We derive relationship between the symmetric Hardy space of noncommutative martingales and its conditioned version.
arxiv
Boundedness of parameterized Marcinkiewicz integrals with variable kernels on Hardy spaces and weak Hardy spaces [PDF]
arXiv, 2017 In this paper, by using the atomic decomposition theory of Hardy space and weak Hardy space, the author establishes the boundedness of parameterized Marcinkiewicz integral with variable kernel on these spaces, under the Dini condition or H\"{o}rmander condition imposed on kernel.
arxiv
A maximal theory for generalized Hardy spaces [PDF]
, 1979 Roberto Macías, Carlos Segovia
openalex +1 more source
Book Review: Brownian motion, Hardy spaces and bounded mean oscillation [PDF]
, 1978 Sheldon Axler
openalex +1 more source
Hardy Spaces of Close-to-Convex Functions and Their Derivatives [PDF]
, 1978 Finbarr Holland, J. B. Twomey
openalex +1 more source
Interpolating sequences and Carleson measures in the Hardy-Sobolev spaces of the ball in $C^n$ [PDF]
arXiv, 2015 In this work we study Hardy Sobolev spaces in the ball of $C^n$ with respect to interpolating sequences and Carleson measures. We compare them with the classical Hardy spaces of the ball and we stress analogies and differences.
arxiv
Hardy and Lipschitz spaces on subsets of $R^{n}$ [PDF]
, 1984 Alf Jonsson, Peter Sjögren, Hans Wallin
openalex +1 more source