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Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1)

Part of the Association for Women in Mathematics Series Book Series (volume 4)

Editors: Pereyra, María Cristina; Marcantognini, Stefania; Stokolos, Alexander M.; Urbina, Wilfredo

DOI: 10.1007/978-3-319-30961-3

ISBN: 978-3-319-30959-0

Publisher: Springer International Publishing - Springer Journals

Sep 16, 2016

1 - 10 of 17 Chapters

LitStream

Cora Sadosky: Her Mathematics, Mentorship, and Professional Contributions

Torres, Rodolfo H.

Pages: 3 –24

[We present some snapshots of Cora Sadosky’s career focusing on her intertwined roles as mathematician, mentor, and leader in the profession. We recount some of her contributions to specific areas of mathematics as well as her broader impact on the mathematical profession.]
LitStream

Cora’s Scholarly Work: Publications According to MathSciNet

Pereyra, Maria Cristina; Marcantognini, Stefania; Stokolos, Alexander M.; Urbina, Wilfredo

Pages: 25 –28

[Cora’s Bibliography According to MathSciNET]
LitStream

Remembering Cora Sadosky

Pereyra, Maria Cristina; Marcantognini, Stefania; Stokolos, Alexander M.; Urbina, Wilfredo

Pages: 29 –52
LitStream

Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey

Barton, Ariel; Mayboroda, Svitlana

Pages: 55 –121

[Recent years have brought significant advances in the theory of higher-order elliptic equations in non-smooth domains. Sharp pointwise estimates on derivatives of polyharmonic functions in arbitrary domains were established, followed by the higher-order Wiener test. Certain boundary value...
LitStream

Victor Shapiro and the Theory of Uniqueness for Multiple Trigonometric Series

Ash, J. Marshall

Pages: 123 –132

[In 1870, Georg Cantor proved that if a trigonometric series converges to 0 everywhere, then all its coefficients must be 0. In the twentieth century this result was extended to higher dimensional trigonometric series when the mode of convergence is taken to be spherical convergence and also when...
LitStream

A Last Conversation with Cora

Bonami, Aline

Pages: 133 –134

[I cannot contribute to this volume without speaking of Cora and what her friendship meant to me. But I know that, would she be here, she would ask: “Raconte-moi tes maths,” that is, “what are you doing right now?” Because, first of all, she was a mathematician. My mathematical contribution tends...
LitStream

Fourier Multipliers of the Homogeneous Sobolev Space Ẇ1,1

Bonami, Aline

Pages: 135 –142

[We prove that the restriction to an affine subspace of such a Fourier multiplier is still a Fourier multiplier, generalizing a celebrated theorem of de Leeuw for Fourier multipliers of Lp. This may be seen as a complement to the spectacular result that such Fourier multipliers are continuous,...
LitStream

A Note on Nonhomogenous Weighted Div-Curl Lemmas

Chang, Der-Chen; Dafni, Galia; Yue, Hong

Pages: 143 –152

[We prove some nonhomogeneous versions of the div-curl lemma in the context of weighted spaces. Namely, assume the vector fields V,W:ℝn→ℝn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}...
LitStream

A Remark on Bilinear Square Functions

Grafakos, Loukas

Pages: 153 –157

[We provide some remarks concerning a bilinear square function formed by products of Littlewood–Paley operators over arbitrary intervals. For 1 < p1, p2 < ∞ with 1∕p = 1∕p1 + 1∕p2, we show that this square function is bounded from Lp1(R)×Lp2(R)\documentclass[12pt]{minimal}...
LitStream

Unique Continuation for the Elasticity System and a Counterexample for Second-Order Elliptic Systems

Kenig, Carlos; Wang, Jenn-Nan

Pages: 159 –178

[In this paper we study the global unique continuation property for the elasticity system and the general second-order elliptic system in two dimensions. For the isotropic and the anisotropic systems with measurable coefficients, under certain conditions on coefficients, we show that the global...

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