Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Loredana Lanzani"'
Autor:
Loredana Lanzani
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 5, Iss 1, Pp 83-110 (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 functio
Externí odkaz:
https://doaj.org/article/49c6f29c9ff048638e0fa9dac4e33998
Autor:
Swanhild Bernstein, Loredana Lanzani
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 29, Iss 10, Pp 613-624 (2002)
We introduce Szegő projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in ℝn. We use such projections to obtain explicit orthogonal decompositions for L2(bΩ). As an application, we obtain an explicit representation
Externí odkaz:
https://doaj.org/article/994e73d969fd4541a6ec9e9dadb6f8c3
Autor:
Loredana Lanzani, Malabika Pramanik
The fundamental role of the Cauchy transform in harmonic and complex analysis has led to many different proofs of its $L^2$ boundedness. In particular, a famous proof of Melnikov-Verdera [18] relies upon an iconic symmetrization identity of Melnikov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d93b6d15fb47c2e536f6b85162227b5a
https://hdl.handle.net/11585/919422
https://hdl.handle.net/11585/919422
Autor:
Elias M. Stein, Loredana Lanzani
Publikováno v:
Geometric Aspects of Harmonic Analysis ISBN: 9783030720575
We survey recent work and announce new results concerning two singular integral operators whose kernels are holomorphic functions of the output variable, specifically the Cauchy–Leray integral and the Cauchy–Szegő projection associated to variou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b785394938477b035e13cd658d53407
https://doi.org/10.1007/978-3-030-72058-2_14
https://doi.org/10.1007/978-3-030-72058-2_14
We set a framework for the study of Hardy spaces inherited by complements of analytic hypersurfaces in domains with a prior Hardy space structure. The inherited structure is a filtration, various aspects of which are studied in specific settings. For
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f338b3e1f1a3266446a5cf4de6471425
Autor:
Elias M. Stein, Loredana Lanzani
Publikováno v:
Science China Mathematics. 60:1923-1936
The purpose of this paper is to complement the results in [LS-1] by showing the dense definability of the Cauchy-Leray transform for the domains that give the counterexamples of [LS-1], where $L^p$-boundedness is shown to fail when either the "near"
Autor:
Loredana Lanzani
Publikováno v:
Complex Analysis and its Synergies. 5
Autor:
Xianghong Gong, Loredana Lanzani
We prove regularity of solutions of the $\bar\partial$-problem in the H\"older-Zygmund spaces of bounded, strongly $\mathbf C$-linearly convex domains of class $C^{1,1}$. The proofs rely on a new, analytic characterization of said domains which is of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55fd691576e8a1b65a9f05bdcd29db90
Autor:
Stephen Wainger, Anthony W. Knapp, Christopher D. Sogge, William Beckner, Carlos E. Kenig, Vickie Kearn, Alexander Nagel, Loredana Lanzani, Terence Tao, Fulvio Ricci, Harold Widom, Linda Rothschild, Rami Shakarchi, Lillian B. Pierce, Alexandru D. Ionescu, Steven G. Krantz, Karen Stein, Duong Phong, Galia Dafni, Charles Fefferman, Jeremy Stein
Publikováno v:
Notices of the American Mathematical Society. 68:1
Publikováno v:
Complex Variables and Elliptic Equations. 60:1133-1141
We discuss the positivity (or lack thereof) of the non-vanishing coefficients of the Taylor series expansion about (Formula presented.) for the Riemann map of a family of rectangles and rhombi with defined symmetries.