Mark Melnikov

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All published works

Action	Title	Year	Authors
+	A dual characterization of the ${\mathcal C}^{1}$ harmonic capacity and applications	2010	Albert Mas Blesa Mark Melnikov Xavier Tolsa
+ PDF Chat	A dual characterization of the C1 harmonic capacity and applications	2010	Albert Mas Blesa Mark Melnikov Xavier Tolsa
+	Compact approximation by bounded functions and functions continuous up to the boundary	2009	Paul M. Gauthier Mark Melnikov
+	On translates of the Poisson kernel and zeros of harmonic functions	2007	Joaquim Bruna Mark Melnikov
+	Uniqueness theorems for Cauchy integrals	2007	Mark Melnikov Alexei Poltoratski Alexander Volberg
+ PDF Chat	Estimate of the Cauchy Integral over Ahlfors Regular Curves	2005	Mark Melnikov Xavier Tolsa
+	$ C^1$-extension of subharmonic functions from closed Jordan domains in $ \mathbb R^2$	2004	Mark Melnikov Петр Владимирович Парамонов
+ PDF Chat	$C^1$-продолжение субгармонических функций с замкнутых жордановых областей в $\mathbb R^2$	2004	Mark Melnikov Mark Melnikov Петр Владимирович Парамонов Петр Владимирович Парамонов
+	$ C^1$-approximation and extension of subharmonic functions	2001	Joan Verdera Mark Melnikov Петр Владимирович Парамонов
+ PDF Chat	$C^1$-аппроксимация и продолжение субгармонических функций	2001	Дж Вердера Joan Verdera Mark Melnikov Mark Melnikov Петр Владимирович Парамонов Петр Владимирович Парамонов
+	The Cauchy Integral, Analytic Capacity, and Uniform Rectifiability	1996	Pertti Mattila Mark Melnikov Joan Verdera
+	Analytic capacity: discrete approach and curvature of measure	1995	Mark Melnikov
+	None	1995	Mark Melnikov Joan Verdera
+ PDF Chat	Existence and weak-type inequalities for Cauchy integrals of general measures on rectifiable curves and sets	1994	Pertti Mattila Mark Melnikov
+ PDF Chat	Existence and Weak-Type Inequalities for Cauchy Integrals of General Measures on Rectifiable Curves and Sets	1994	Pertti Mattila Mark Melnikov
+	A Counterexample to a Vitali Type Theorem with Respect to Hausdorff Content	1993	Mark Melnikov Joan Orobitg
+	Relative closeness of functions and Laplace transformations	1990	L. A. Balashov Yu A Dreĭzin Mark Melnikov
+	A CRITERION FOR POINTS TO BELONG TO THE SAME GLEASON PART OF THE ALGEBRA<i>R</i>(<i>X</i>)	1977	Mark Melnikov
+	ON INTERPOLATION SETS FOR THE ALGEBRA $ R(X)$	1977	K Val'des Kastro Mark Melnikov
+	Aspects of approximation theory for functions of one complex variable	1976	Mark Melnikov S. O. Sinanyan
+	ON THE GLEASON PARTS OF THE ALGEBRA $ R(X)$	1976	Mark Melnikov
+	METRIC PROPERTIES OF ANALYTIC<i>α</i>-CAPACITY AND APPROXIMATION OF ANALYTIC FUNCTIONS WITH A HÖLDER CONDITION BY RATIONAL FUNCTIONS	1969	Mark Melnikov
+	Thirteen Papers on Functions of Real and Complex Variables	1969	Vladimir Azarin N. Čaus Ju F Korobeĭnik B. M. Levitan Mark Melnikov Sergei M Nikol'skii G. Sindalovskiĭ G. Tolstov A G Vituškin V. Zmorovič
+	Structure of the gleason part of the algebra R(E)	1967	Mark Melnikov

Common Coauthors

Coauthor	Papers Together
Петр Владимирович Парамонов	4
Joan Verdera	4
Pertti Mattila	3
Xavier Tolsa	3
Albert Mas Blesa	2
A G Vituškin	1
K Val'des Kastro	1
S. O. Sinanyan	1
Alexei Poltoratski	1
Дж Вердера	1
V. Zmorovič	1
G. Sindalovskiĭ	1
Yu A Dreĭzin	1
Joan Orobitg	1
N. Čaus	1
L. A. Balashov	1
B. M. Levitan	1
G. Tolstov	1
Vladimir Azarin	1
Paul M. Gauthier	1
Ju F Korobeĭnik	1
Alexander Volberg	1
Joaquim Bruna	1
Sergei M Nikol'skii	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The analytic capacity of sets in problems of approximation theory	1967	A. G. Vitushkin	6
+ PDF Chat	Analytic Capacity and Measure	1972	John B. Garnett	6
+ PDF Chat	Analytic capacity and approximation problems	1972	A. M. Davie	5
+	Bounded analytic functions	1947	Lars V. Ahlfors	5
+ PDF Chat	L2-boundedness of the Cauchy integral operator for continuous measures	1999	Xavier Tolsa	4
+ PDF Chat	On geometric properties of harmonic Lip<sub>1</sub>-capacity	1995	Pertti Mattila Петр Владимирович Парамонов	4
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	4
+ PDF Chat	A Real Variable Method for the Cauchy Transform, and Analytic Capacity	1988	Takafumi Murai	3
+	Analytic capacity: discrete approach and curvature of measure	1995	Mark Melnikov	3
+	None	1995	Mark Melnikov Joan Verdera	3
+	Lectures on Singular Integral Operators	1991	Michael Christ	3
+	None	1998	Fëdor Nazarov Sergei Treil Alexander Volberg	3
+ PDF Chat	The support of representing measures for<i>R</i>(<i>X</i>)	1968	Donald R. Wilken	3
+ PDF Chat	A weak type inequality for Cauchy transforms of finite measures	1992	Joan Verdera	3
+	An extension of Melnikov's theorem	1972	A. M. Davie Donald R. Wilken	3
+ PDF Chat	On the T(1)-theorem for the Cauchy integral	2000	Joan Verdera	3
+	The geometry of fractal sets	1985	K. J. Falconer	2
+ PDF Chat	Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation	1985	Guy David Jean-Lin Journé Stephen Semmes	2
+ PDF Chat	Approximation in the Mean by Solutions of Elliptic Equations	1984	Thomas Bagby	2
+	Removability, capacity and approximation	1994	Joan Verdera	2
+	Cauchy Singular Integrals and Rectifiability of Measures in the Plane	1995	Pertti Mattila	2
+ PDF Chat	On the analytic capacity gamma_+	2002	Xavier Tolsa	2
+ PDF Chat	Subharmonic Extensions and Approximations	1994	Paul M. Gauthier	2
+	None	1997	Fëdor Nazarov Sergei Treil Alexander Volberg	2
+	L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes Lipschitziennes	1982	Ronald R. Coifman Alan McIntosh Yves Meyer	2
+	An Extremal Problem on Singular Integrals	1980	Nguyen Xuan Uy	2
+	A Boundedness Criterion for Generalized Calderon-Zygmund Operators	1984	Guy David Jean-Lin Journé	2
+	Null Sets for Measures Orthogonal to R(X)	1972	Bernt K. Øksendal	2
+	On C m Rational Approximation	1986	Joan Verdera	2
+	Boundary Behaviour of Conformal Maps	1992	Christian Pommerenke	2
+ PDF Chat	A minimal boundary for function algebras	1959	Errett Bishop	2
+	Some new criteria for uniform approximability of functions by rational fractions	1995	Петр Владимирович Парамонов	2
+	Banach algebras and analytic functions	1961	John Wermer	2
+	Cm approximation by solutions of elliptic equations, and Calderón-Zygmund operators	1987	Joan Verdera	2
+ PDF Chat	Cauchy integrals on Lipschitz curves and related operators	1977	A. P. Calderón	2
+	ON HARMONIC APPROXIMATION IN THE $ C^1$-NORM	1992	Петр Владимирович Парамонов	2
+ PDF Chat	Painlevé's problem and the semiadditivity of analytic capacity	2003	Xavier Tolsa	2
+	Harmonic Approximation	1995	Stephen J. Gardiner	2
+ PDF Chat	Rational approximation on the union of sets	1971	A. M. Davie Bernt K. Øksendal	1
+	Bounded point derivations on certain Banach algebras	1967	John Wermer	1
+ PDF Chat	The classes 𝐿_{𝑝} and conformal mapping	1950	P. R. Garabedian	1
+ PDF Chat	Analytic capacity and differentiability properties of finely harmonic functions	1982	A. M. Davie Bernt Øksendal	1
+ PDF Chat	On approximation to an analytic function by polynomials	1934	O. J. Farrell	1
+	Selected problems on exceptional sets	1967	Lennart Carleson	1
+ PDF Chat	$BMO$ Harmonic Approximation in the Plane and Spectral Synthesis for Hardy-Sobolev Spaces	1988	Joan Mateu Joan Verdera	1
+ PDF Chat	Characterization and semiadditivity of the $\mathcal C^1$-harmonic capacity	2010	Aleix Ruiz de Villa Xavier Tolsa	1
+ PDF Chat	The Stone-Weierstrass theorem in certain Banach algebras of Fourier type	1965	Lars Inge Hedberg	1
+	Approximation in the mean and quasianalyticity	1973	James E. Brennan	1
+	Quasi topologies and rational approximation	1972	Thomas Bagby	1
+ PDF Chat	A T(b) theorem with remarks on analytic capacity and the Cauchy integral	1990	Michael Christ	1