Cotlar's inequality without the doubling condition and existence of principal values for the Cauchy integral of measures

Xavier Tolsa

Type: Article

Publication Date: 1998-09-15

Citations: 66

DOI: https://doi.org/10.1515/crll.1998.087

View Publication

Locations

Journal für die reine und angewandte Mathematik (Crelles Journal) - View

Similar Works

Action	Title	Year	Authors
+	On the existence of principal values for the cauchy integral on weighted lebesgue spaces for non-doubling measures	2001	José Garcı́a-Cuerva José María Martell
+	Chapter 25 The Cauchy Integral and the Cauchy Inequalities	1985
+ PDF Chat	The Theory of Cauchy's Principal Values. (Second Paper: The use of Principal Values in some of the Double Limit Problems of the Integral Calculus.)	1901	G. H. Hardy
+	Principal Values of Cauchy Integrals, Rectifiable Measures and Sets	1991	Pertti Mattila
+	Cauchy's mean value theorem and continued fractions	2017	Валерий Васильевич Козлов
+ PDF Chat	The Elementary Theory of Cauchy's Principal Values	1901	G. H. Hardy
+	Chapter 3: Cauchy Integral Theorem and consequences	2014
+ PDF Chat	The Theory of Cauchy's Principal Values. (Third Paper: <i>Differentiation and Integration of Principal Values.)</i>	1902	G. H. Hardy
+	Carathéodory’s fundamental contribution to measure theory	1991	Jean-Paul Pier
+	The Cauchy Integral Theorem	1965	Oswald Wyler
+	The Cauchy Transform (Mathematical Surveys and Monographs 125)	2007	J. R. Partington
+	An extension of Knight's theorem on Cauchy distribution	1988	Claudie Hassenforder
+	A UNIFIED FORM OF THE CLASSICAL MEAN VALUE THEOREMS	1994	Zsolt Páles
+	A Converse to Cauchy's Inequality	1995	Don Zagier
+	A Converse to Cauchy's Inequality	1995	Don Zagier
+	Cauchy's Integral Theorems	2008
+	Decomposition and integral representation of Cauchy interactions associated with measures	2001	Alfredo Marzocchi Alessandro Musesti
+	Multidimensional analogues of Carleman’s formula with integration over boundary sets of maximal dimension	1990	Lev Aizenberg
+	Lebesgue's Measure	1990
+	A multi-dimensional analog of Cauchy's formula	1969	И. А. Морев

Works That Cite This (64)

Action	Title	Year	Authors
+ PDF Chat	On the problem of existence in principal value of a Calderón–Zygmund operator on a space of non‐homogeneous type	2019	Benjamin Jaye Tomás Merchán
+	Approximation in the mean by rational functions	2019	John B. Conway Liming Yang
+	Maximal calderón-zygmund singular integral on RBMO	2005	Jiecheng Chen Zhu Xiang-rong
+	Besov spaces with non-doubling measures	2005	Donggao Deng Yongsheng Han Dachun Yang
+ PDF Chat	Triebel–Lizorkin spaces with non-doubling measures	2004	Yongsheng Han Dachun Yang
+	𝐴_{𝑝} weights for nondoubling measures in 𝑅ⁿ and applications	2002	Joan Orobitg Carlos Pérez
+ PDF Chat	Boundedness of Commutators with Lipschitz Functions in Non-homogeneous Spaces*	2007	Xiaoli Fu Yan Meng Dachun Yang
+	Multilinear Commutators of Singular Integrals with Non Doubling Measures	2005	Guoen Hu Yan Meng Dachun Yang
+ PDF Chat	BOUNDEDNESS OF COMMUTATORS WITH LIPSCHITZ FUNCTIONS IN NON-HOMOGENEOUS SPACES	2006	Yan Meng Dachun Yang
+ PDF Chat	Cauchy transform and uniform approximation by polynomial modules	2023	Liming Yang

Works Cited by This (0)

Action	Title	Year	Authors