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Harmonic Analysis Techniques in Several Complex Variables
Bruno Pini Mathematical Analysis Seminar, 2014 We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions ...
Loredana Lanzani
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Projective generators inHardy and Bergman spaces
Bulletin des Sciences Mathématiques, 2000 A function \(f\) in the Bergman space \(A^2\) (respectively, the Hardy space \(H^2)\) is called a projective generator of defect \(n\) if \[ \text{codim}_{[g]} [P_{[g]}f]\leq n \] for any \(g\in A^2\) (respectively, \(H^2)\) such that \(P_{[g]}f\neq 0\), and if equality holds for some \(g\).
Korenblum, B. +2 more
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Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection
Journal of Function Spaces, 2018 We first introduce the multiple weights which are suitable for the study of Bergman type operators. Then, we give the sharp weighted estimates for multilinear fractional Bergman operators and fractional maximal function.
Juan Zhang, Senhua Lan, Qingying Xue
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Comparing the Bergman and the Szegö projections
Mathematische Zeitschrift, 1990 Let D be a smoothly bounded domain in \({\mathbb{C}}^ n\), and let S and B denote the Szegö and the Bergman projections for D. The authors prove some estimates under certain technical assumptions on D, which make precise the principle that estimates for S are related to estimates for B. In particular, their results imply that if D is the unit ball, and
Charpentier, Philippe, Bonami, Aline
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Regularity of the Bergman Projection on Forms and Plurisubharmonicity Conditions [PDF]
Mathematische Annalen, 2006 Let D be a smoothly bounded domain in a complex vector space of dimension n. Suppose that D has a smooth defining function, such that the sum of any q eigenvalues of its complex Hessian are non-negative on the closure of D. We show that this implies global regularity of the Bergman projection on (0,j)-forms for j larger or equal to q-1.
Herbig, A.-K., McNeal, J. D.
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𝐿^{𝑝} regularity of weighted Bergman projections [PDF]
Transactions of the American Mathematical Society, 2012 We investigate L p L^p regularity of ...
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Norm of the Bergman projection onto the Bloch space [PDF]
Journal of Operator Theory, 2015 We consider weighted Bergman projection $P_α: L^{\infty}(\Bbb B) \rightarrow {\cal B} $ where $α>-1$ and $\cal B$ is the Bloch space of the unit ball $\Bbb B$ of the complex space $\Bbb C^n.$ We obtain the exact norm of the operator $P_α$ where the Bloch space is observed as a space with norm (and semi-norm) induced from the Besov space $B_{p ...
Kalaj, David, Vujadinovic, Djordjije
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ON SOME NEW PROJECTION THEOREMS AND SHARP ESTIMATES IN HERZ TYPE SPACES IN BOUNDED PSEUDOCONVEX DOMAINS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 We prove new projection theorems for new Herz type spaces in various domains in Cn in the unit disk, unit ball, bounded pseudoconvex domains and based on these results we provide sharp estimates for distances in such type spaces under one condition on ...
R. F. Shamoyan, A. N. Shipka
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A space of projections on the Bergman space
Annales Academiae Scientiarum Fennicae Mathematica, 2010 The authors define a set of projections on the Bergman space \(A^3\), which is parameterized by an affine subset of a Banach space of holomorphic functions in the disk and which includes the classical Forelli-Rudin projections.
Blasco, Oscar, Pérez-Esteva, Salvador
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Agribusiness, EarlyView.ABSTRACT Past growth in the global organic market has been concentrated in high‐income countries, while in middle‐income countries such as Serbia the organic market remains nascent and characterized by a sparse assortment of organic products, high retail premia and limited evidence on consumer preferences and their drivers.
Milan Tatic +3 more
wiley +1 more source