• 195 Citations
  • 8 h-Index
1985 …2019
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Research Output 1985 2019

  • 195 Citations
  • 8 h-Index
  • 36 Article
2019

(Pluri)Potential Compactifications

Poletsky, E. A., Jan 1 2019, In : Potential Analysis.

Research output: Contribution to journalArticle

Pluricomplex Green Function
Compactification
Plurisubharmonic Function
Imbedding
Potential Theory

Fundamental group and analytic disks

Dharmasena, D. & Poletsky, E. A., Jan 1 2019, In : Transactions of the American Mathematical Society. 371, 1, p. 709-728 20 p.

Research output: Contribution to journalArticle

Analytic Discs
Fundamental Group
Connected Components
Equivalence classes
Binary operation

Plurisubharmonically separable complex manifolds

Poletsky, E. A. & Shcherbina, N., Jan 1 2019, In : Proceedings of the American Mathematical Society. 147, 6, p. 2413-2424 12 p.

Research output: Contribution to journalArticle

Complex Manifolds
Plurisubharmonic Function
Continuous Function
Logarithmic
Disjoint
2017

Closed Groups of Automorphisms of Products of Hyperbolic Riemann Surfaces

Poletsky, E. A. & Sharonov, S. E., Dec 11 2017, (Accepted/In press) In : Journal of Geometric Analysis. p. 1-18 18 p.

Research output: Contribution to journalArticle

Hyperbolic Surface
Riemann Surface
Automorphisms
Closed
2015
1 Citation (Scopus)

Projective Limits of Poletsky–Stessin Hardy Spaces

Poletsky, E. A., Dec 26 2015, (Accepted/In press) In : Complex Analysis and Operator Theory. p. 1-16 16 p.

Research output: Contribution to journalArticle

Projective Limit
Hardy Space
Topology
Plurisubharmonic Function
Pseudoconvex Domain
2013
2 Citations (Scopus)

Non-compact versions of Edwards' Theorem

Gogus, N. G., Perkins, T. L. & Poletsky, E. A., Sep 2013, In : Positivity. 17, 3, p. 459-473 15 p.

Research output: Contribution to journalArticle

Cones
Compact Hausdorff Space
Spaces of Continuous Functions
Convex Cone
Compact Space
3 Citations (Scopus)

Plurisubharmonic subextensions as envelopes of disc functionals

Lárusson, F. & Poletsky, E. A., Sep 2013, In : Michigan Mathematical Journal. 62, 3, p. 551-565 15 p.

Research output: Contribution to journalArticle

Envelope
4 Citations (Scopus)

Stein neighborhoods of graphs of holomorphic mappings

Poletsky, E. A., Nov 2013, In : Journal fur die Reine und Angewandte Mathematik. 684, p. 187-198 12 p.

Research output: Contribution to journalArticle

Holomorphic Mappings
Compact Set
Complex Manifolds
Graph in graph theory
Analytic function
2 Citations (Scopus)

Weak and strong limit values

Poletsky, E. A., Jul 2013, In : Journal of Geometric Analysis. 23, 3, p. 999-1031 33 p.

Research output: Contribution to journalArticle

Harmonic Functions
Boundary Value
Integrability
Smoothness
Analytic function
2012
3 Citations (Scopus)

Dirichlet problems for plurisubharmonic functions on compact sets

Poletsky, E. A. & Sigurdsson, R., Aug 2012, In : Mathematische Zeitschrift. 271, 3-4, p. 877-892 16 p.

Research output: Contribution to journalArticle

Plurisubharmonic Function
Maximal Function
Compact Set
Dirichlet Problem
Continuous Function

Padé Interpolation by F-Polynomials and Transfinite Diameter

Coman, D. & Poletsky, E. A., Oct 2012, In : Constructive Approximation. 36, 2, p. 311-329 19 p.

Research output: Contribution to journalArticle

Interpolation
Interpolate
Polynomials
Polynomial
Fekete Points
2010
5 Citations (Scopus)

Polynomial estimates, exponential curves and diophantine approximation

Coman, D. & Poletsky, E. A., Nov 2010, In : Mathematical Research Letters. 17, 6, p. 1125-1136 12 p.

Research output: Contribution to journalArticle

Liouville's number
Curve Approximation
Order of Growth
Diophantine Approximation
Order of a polynomial
2009
6 Citations (Scopus)

Functions holomorphic along holomorphic vector fields

Kim, K. T., Poletsky, E. A. & Schmalz, G., 2009, In : Journal of Geometric Analysis. 19, 3, p. 655-666 12 p.

Research output: Contribution to journalArticle

Holomorphic Vector Field
Analytic function
Eigenvalue
Taylor Expansion
Singular Point
1 Citation (Scopus)

Jensen measures and annihilators of holomorphic functions

Gogus, N. & Poletsky, E. A., 2009, In : Illinois Journal of Mathematics. 53, 2, p. 679-690 12 p.

Research output: Contribution to journalArticle

Annihilator
Analytic function
H-space
Complex Manifolds
Approximation Property
2008
17 Citations (Scopus)

Hardy and Bergman spaces on hyperconvex domains and their composition operators

Poletsky, E. A. & Stessin, M. I., 2008, In : Indiana University Mathematics Journal. 57, 5, p. 2153-2201 49 p.

Research output: Contribution to journalArticle

Bergman Space
Composition Operator
Hardy Space
Weighted Bergman Space
Holomorphic Mappings
5 Citations (Scopus)

Stable algebras of entire functions

Coman, D. & Poletsky, E. A., Nov 2008, In : Proceedings of the American Mathematical Society. 136, 11, p. 3993-4002 10 p.

Research output: Contribution to journalArticle

Rational functions
Entire Function
Rational function
Algebra
Polynomials
2007
1 Citation (Scopus)

Overinterpolation

Coman, D. & Poletsky, E. A., Nov 1 2007, In : Journal of Mathematical Analysis and Applications. 335, 1, p. 184-197 14 p.

Research output: Contribution to journalArticle

Algebraic function
Rational function
Polynomial
Polynomials
Form
12 Citations (Scopus)

Transcendence measures and algebraic growth of entire functions

Coman, D. & Poletsky, E. A., Oct 2007, In : Inventiones Mathematicae. 170, 1, p. 103-145 43 p.

Research output: Contribution to journalArticle

Transcendence
Entire Function
Estimate
Markov's inequality
Riemann Function
2005
7 Citations (Scopus)

Quasianalyticity and pluripolarity

Coman, D., Levenberg, N. & Poletsky, E. A., Apr 2005, In : Journal of the American Mathematical Society. 18, 2, p. 239-252 14 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Smooth submanifolds intersecting any analytic curve in a discrete set

Coman, D., Levenberg, N. & Poletsky, E. A., May 2005, In : Mathematische Annalen. 332, 1, p. 55-65 11 p.

Research output: Contribution to journalArticle

Submanifolds
Curve
Euclidean space
Torus
Analytic Discs
2004
5 Citations (Scopus)

Jensen measures and analytic multifunctions

Poletsky, E. A., Oct 2004, In : Arkiv for Matematik. 42, 2, p. 335-352 18 p.

Research output: Contribution to journalArticle

Graph in graph theory
If and only if
Maximum Principle
Convexity
Fiber
2003
13 Citations (Scopus)

Approximation of plurisubharmonic functions by multipole Green functions

Poletsky, E. A., Apr 2003, In : Transactions of the American Mathematical Society. 355, 4, p. 1579-1591 13 p.

Research output: Contribution to journalArticle

Pluricomplex Green Function
Plurisubharmonic Function
Boundary Value
Green's function
Cones
8 Citations (Scopus)

Bernstein-Walsh inequalities and the exponential curve in ℂ2

Coman, D. & Poletsky, E. A., Mar 2003, In : Proceedings of the American Mathematical Society. 131, 3, p. 879-887 9 p.

Research output: Contribution to journalArticle

Polynomials
Curve
Order of a polynomial
Upper bound
Estimate
10 Citations (Scopus)

Measures of Transcendency for Entire Functions

Coman, D. & Poletsky, E. A., 2003, In : Michigan Mathematical Journal. 51, 3, p. 575-591 17 p.

Research output: Contribution to journalArticle

Entire Function
7 Citations (Scopus)

Upper semicontinuity of the dimensions of automorphism groups of domains in ℂN

Fridman, B. L., Ma, D. & Poletsky, E. A., Apr 2003, In : American Journal of Mathematics. 125, 2, p. 289-299 11 p.

Research output: Contribution to journalArticle

Upper Semicontinuity
Automorphism Group
Hausdorff Distance
Upper Semicontinuous
Topological Structure
2002

A characterization of the disk algebra

Cole, B. J., Sadik, N. & Poletsky, E. A., Jun 2002, In : Illinois Journal of Mathematics. 46, 2, p. 533-539 7 p.

Research output: Contribution to journalArticle

Algebra
Uniform Algebra
Isomorphic
Subalgebra
Closed
8 Citations (Scopus)

Reverse Markov inequality

Levenberg, N. & Poletsky, E. A., 2002, In : Annales Academiae Scientiarum Fennicae Mathematica. 27, 1, p. 173-182 10 p.

Research output: Contribution to journalArticle

Markov's inequality
Reverse Inequality
Compact Convex Set
Polynomial
Zero
4 Citations (Scopus)

The minimum principle

Poletsky, E. A., 2002, In : Indiana University Mathematics Journal. 51, 2, p. 269-305 37 p.

Research output: Contribution to journalArticle

Minimum Principle
Expand
Family
Class
1999
9 Citations (Scopus)

Disk Envelopes of Functions, II

Poletsky, E. A., Apr 1 1999, In : Journal of Functional Analysis. 163, 1, p. 111-132 22 p.

Research output: Contribution to journalArticle

Envelope
Analytic Discs
Plurisubharmonic Function
Stefan Banach
Supremum
29 Citations (Scopus)

Pluripolar hulls

Levenberg, N. & Poletsky, E. A., 1999, In : Michigan Mathematical Journal. 46, 1, p. 151-162 12 p.

Research output: Contribution to journalArticle

1997
4 Citations (Scopus)

Approximation by harmonic functions

Poletsky, E. A., 1997, In : Transactions of the American Mathematical Society. 349, 11, p. 4415-4427 13 p.

Research output: Contribution to journalArticle

Harmonic functions
Harmonic Functions
Compact Set
Approximation
Covering
1 Citation (Scopus)

Order functions of plurisubharmonic functions

Celik, H. I. & Poletsky, E. A., 1997, In : Studia Mathematica. 124, 2, p. 161-171 11 p.

Research output: Contribution to journalArticle

Plurisubharmonic Function
Polar Set
Ambiguous
1996
13 Citations (Scopus)

Analytic geometry on compacta in ℂn

Poletsky, E. A., Jul 1996, In : Mathematische Zeitschrift. 222, 3, p. 407-424 18 p.

Research output: Contribution to journalArticle

Co-ordinate geometry
1995
3 Citations (Scopus)

A counterexample to the “fine” problem in pluripotential theory

Cegrell, U. & Poletsky, E. A., 1995, In : Proceedings of the American Mathematical Society. 123, 12, p. 3677-3679 3 p.

Research output: Contribution to journalArticle

Counterexample
1994
4 Citations (Scopus)

Upper semicontinuity of automorphism groups

Fridman, B. L. & Poletsky, E. A., May 1994, In : Mathematische Annalen. 299, 1, p. 615-628 14 p.

Research output: Contribution to journalArticle

Upper Semicontinuity
Automorphism Group
1985
5 Citations (Scopus)

Holomorphicqu asiregular mappings

Poletsky, E. A., 1985, In : Proceedings of the American Mathematical Society. 95, 2, p. 235-241 7 p.

Research output: Contribution to journalArticle

Quasiregular Mappings
Hermitian Manifold
Holomorphic Mappings
Bounded Domain