Pavel Mozolyako

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All published works

Action	Title	Year	Authors
+	B-Points of a Cantor-Type Set	2024	Pavel Mozolyako
+ PDF Chat	Two-weight dyadic Hardy inequalities	2023	Nicola Arcozzi Nikolaos Chalmoukis Matteo Levi Pavel Mozolyako
+ PDF Chat	Carleson embedding on the tri-tree and on the tri-disc	2022	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+ PDF Chat	Essential differences of potential theories on a tree and on a bi-tree	2022	Pavel Mozolyako Alexander Volberg
+	Two-weight dyadic Hardy's inequalities.	2021	Nicola Arcozzi Nikolaos Chalmoukis Matteo Levi Pavel Mozolyako
+	Improved surrogate bi-parameter maximum principle	2021	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+	Multi-parameter Carleson embeddings for $p\neq 2$ on $T^2$ or for $p=2$ on $T^4$, and why the proofs fail	2021	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg
+	Differences between the potential theories on a tree and on a bi-tree	2021	Pavel Mozolyako Alexander Volberg
+	Two-weight dyadic Hardy's inequalities	2021	Nicola Arcozzi Nikolaos Chalmoukis Matteo Levi Pavel Mozolyako
+ PDF Chat	Combinatorial property of all positive measures in dimensions $2$ and $3$	2020	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+ PDF Chat	Counterexamples for multi-parameter weighted paraproducts	2020	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg
+ PDF Chat	Oscillation of Functions in the Hölder Class	2020	Pavel Mozolyako Artur Nicolau
+	Carleson embedding on tri-tree and on tri-disc	2020	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+ PDF Chat	Bi-parameter embedding and measures with restricted energy conditions	2019	Nicola Arcozzi Irina Holmes Pavel Mozolyako Alexander Volberg
+ PDF Chat	Bellman Function Sitting on a Tree	2019	Nicola Arcozzi Irina Holmes Pavel Mozolyako Alexander Volberg
+ PDF Chat	Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees	2019	Nicola Arcozzi Pavel Mozolyako Karl‐Mikael Perfekt
+	A combinatorial property of planar measures and bi-parameter Carleson embeddings with product weights	2019	Nicola Arcozzi Pavel Mozolyako Alexander Volberg Pavel Zorin‐Kranich
+	Bi-parameter Carleson embeddings with product weights	2019	Nicola Arcozzi Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+	Combinatorics of planar measures and bi-parameter Carleson embedding	2019	Nicola Arcozzi Pavel Mozolyako Alexander Volberg
+	Oscillation of Functions in the H\"older class	2019	Pavel Mozolyako Artur Nicolau
+	Counterexamples for bi-parameter Carleson embedding	2019	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg
+	Oscillation of Functions in the Hölder class	2019	Pavel Mozolyako Artur Nicolau
+	Bi-parameter Carleson embeddings with product weights	2019	Nicola Arcozzi Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+	Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc	2018	Nicola Arcozzi Pavel Mozolyako Karl‐Mikael Perfekt Giulia Sarfatti
+	Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees	2018	Nicola Arcozzi Pavel Mozolyako Karl‐Mikael Perfekt
+	Bellman function sitting on a tree	2018	Nicola Arcozzi Irina Holmes Pavel Mozolyako Alexander Volberg
+	Strong weighted and restricted weak weighted estimates of the square function	2018	Paata Ivanisvili Pavel Mozolyako Alexander Volberg
+	Bi-parameter embedding and measures with restriction energy condition	2018	Nicola Arcozzi Irina Holmes Pavel Mozolyako Alexander Volberg
+	Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc	2018	Nicola Arcozzi Pavel Mozolyako Karl‐Mikael Perfekt Giulia Sarfatti
+	Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees	2018	Nicola Arcozzi Pavel Mozolyako Karl‐Mikael Perfekt
+	Bellman function sitting on a tree	2018	Nicola Arcozzi Irina Holmes Pavel Mozolyako Alexander Volberg
+	Boundedness of a variation of the positive harmonic function along the normals to the boundary	2017	Pavel Mozolyako V. P. Havin
+ PDF Chat	Boundary oscillations of harmonic functions in Lipschitz domains	2016	Pavel Mozolyako
+ PDF Chat	Some Hilbert spaces related with the Dirichlet space	2016	Nicola Arcozzi Pavel Mozolyako Karl‐Mikael Perfekt Stefan Richter Giulia Sarfatti
+	Some Hilbert Spaces related with the Dirichlet space	2015	Nicola Arcozzi Karl‐Mikael Perfekt Pavel Mozolyako Stefan Richter Giulia Sarfatti
+ PDF Chat	On a theorem of Cartwright in higher dimensions	2015	Alexander Logunov Eugenia Malinnikova Pavel Mozolyako
+	Boundary oscillations of harmonic functions in Lipschitz domains	2015	Pavel Mozolyako
+	Some Hilbert Spaces related with the Dirichlet space	2015	Nicola Arcozzi Karl‐Mikael Perfekt Pavel Mozolyako Stefan Richter Giulia Sarfatti
+	Boundary oscillations of harmonic functions in Lipschitz domains	2015	Pavel Mozolyako
+ PDF Chat	Wavelet characterization of growth spaces of harmonic functions	2014	Kjersti Solberg Eikrem Eugenia Malinnikova Pavel Mozolyako
+ PDF Chat	On the definition of B-points of a Borel charge on the real line	2012	Pavel Mozolyako
+ PDF Chat	Wavelet decomposition of harmonic functions in growth spaces	2012	Kjersti Solberg Eikrem Eugenia Malinnikova Pavel Mozolyako
+	Strong convergence of approximate identities and bourgain points of Bounded functions	2008	Pavel Mozolyako

Common Coauthors

Coauthor	Papers Together
Nicola Arcozzi	20
Alexander Volberg	19
Georgios Psaromiligkos	9
Karl‐Mikael Perfekt	8
Pavel Zorin‐Kranich	7
Giulia Sarfatti	5
Irina Holmes	5
Artur Nicolau	3
Stefan Richter	3
Nikolaos Chalmoukis	3
Eugenia Malinnikova	3
Matteo Levi	3
Kjersti Solberg Eikrem	2
Alexander Logunov	1
V. P. Havin	1
Paata Ivanisvili	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Function Spaces and Potential Theory	1996	David R. Adams Lars Inge Hedberg	13
+	Carleson Measure on the Bi-Disc	1979	Sun‐Yung A. Chang	12
+ PDF Chat	Potential Theory on Trees, Graphs and Ahlfors-regular Metric Spaces	2013	Nicola Arcozzi Richard Rochberg Eric T. Sawyer Brett D. Wick	11
+ PDF Chat	Weighted inequalities for the two-dimensional Hardy operator	1985	Eric T. Sawyer	10
+ PDF Chat	Carleson measures for analytic Besov spaces	2002	Nicola Arcozzi Richard Rochberg Eric T. Sawyer	8
+ PDF Chat	The Bellman functions and two-weight inequalities for Haar multipliers	1999	Fëdor Nazarov Sergei Treil Alexander Volberg	8
+	On the radial variation of bounded analytic functions on the disc	1993	Jean Bourgain	8
+	A Continuous Version of Duality of H 1 with BMO on the Bidisc	1980	Sun‐Yung A. Chang Robert Fefferman	7
+ PDF Chat	Multi-parameter paraproducts	2006	Camil Muscalu Jill Pipher Terence Tao Christoph Thiele	6
+	Bi-parameter embedding and measures with restriction energy condition	2018	Nicola Arcozzi Irina Holmes Pavel Mozolyako Alexander Volberg	6
+	Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc	2018	Nicola Arcozzi Pavel Mozolyako Karl‐Mikael Perfekt Giulia Sarfatti	6
+ PDF Chat	Multipliers of the Dirichlet space	1980	David A. Stegenga	6
+ PDF Chat	Bi-parameter embedding and measures with restricted energy conditions	2019	Nicola Arcozzi Irina Holmes Pavel Mozolyako Alexander Volberg	5
+ PDF Chat	Counterexamples for multi-parameter weighted paraproducts	2020	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg	5
+ PDF Chat	Vertical variation of harmonic functions in upper half-spaces	2001	Michael D. O’Neill	5
+ PDF Chat	Calderón-Zygmund theory for product domains: <i> H <sup>p</sup> </i> spaces	1986	Robert Fefferman	5
+	The radial variation of analytic functions	1955	Walter Rudin	5
+	Bellman function sitting on a tree	2018	Nicola Arcozzi Irina Holmes Pavel Mozolyako Alexander Volberg	5
+	Bi-parameter Carleson embeddings with product weights	2019	Nicola Arcozzi Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich	5
+ PDF Chat	Imbedding and multiplier theorems for discrete Littlewood-Paley spaces	1996	Igor E. Verbitsky	4
+ PDF Chat	Radial oscillation of harmonic functions in the Korenblum class	2011	Yurii Lyubarskii Eugenia Malinnikova	4
+ PDF Chat	Combinatorial property of all positive measures in dimensions $2$ and $3$	2020	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich	4
+ PDF Chat	Carleson embedding on the tri-tree and on the tri-disc	2022	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich	4
+ PDF Chat	Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains	1985	Sun Chang Robert Fefferman	4
+	Pick Interpolation and Hilbert Function Spaces	2002	Jim Agler John E. McCarthy	4
+	None	1998	José G. Llorente	4
+ PDF Chat	Bi-parameter paraproducts	2004	Camil Muscalu Jill Pipher Terence Tao Christoph Thiele	4
+	Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc	2018	Nicola Arcozzi Pavel Mozolyako Karl‐Mikael Perfekt Giulia Sarfatti	3
+	Interpolation and Sampling in Spaces of Analytic Functions	2004	Kristian Seip	3
+	Multilinear Calderón–Zygmund Theory	2002	Loukas Grafakos Rodolfo H. Torres	3
+	The Dirichlet space: a survey	2011	Nicola Arcozzi Richard Rochberg Eric T. Sawyer Brett D. Wick	3
+	Improved surrogate bi-parameter maximum principle	2021	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich	3
+	A combinatorial property of planar measures and bi-parameter Carleson embeddings with product weights	2019	Nicola Arcozzi Pavel Mozolyako Alexander Volberg Pavel Zorin‐Kranich	3
+	A comparison of box and Carleson conditions on bi-trees	2019	Irina Holmes Georgios Psaromiligkos Alexander Volberg	3
+ PDF Chat	Two-weight inequality for the Hilbert transform: A real variable characterization, II	2014	Michael T. Lacey Eric T. Sawyer Chun Shen Ignacio Uriarte-Tuero	3
+ PDF Chat	Thin sets in nonlinear potential theory	1983	Lars-Inge Hedberg Thomas Wolff	3
+	Carleson Measures and Multipliers for Dirichlet Spaces	1999	Zhijian Wu	3
+ PDF Chat	Radial growth of functions in the Korenblum space	2010	Alexander Borichev Yurii Lyubarskii Eugenia Malinnikova Pascal J. Thomas	3
+	Osservazioni sopra una classe di disuguaglianze	1969	Giorgio Talenti	3
+	Sparse Domination for Bi-Parameter Operators Using Square Functions	2017	Alexander Barron Jill Pipher	3
+	Equivalence of sparse and Carleson coefficients for general sets	2017	Timo S. Hänninen	3
+	Journé’s covering lemma and its extension to higher dimensions	1986	Jill Pipher	3
+ PDF Chat	Oscillation of Hölder Continuous Functions	2014	José G. Llorente Artur Nicolau	3
+ PDF Chat	On the existence of capacitary strong type estimates in Rn	1976	David R. Adams	3
+	Carleson measures for the Drury–Arveson Hardy space and other Besov–Sobolev spaces on complex balls	2008	Nicola Arcozzi Richard Rochberg Eric T. Sawyer	3
+ PDF Chat	Two weight inequalities for individual Haar multipliers and other well localized operators	2008	Fëdor Nazarov Sergei Treil Alexander Volberg	3
+ PDF Chat	Bellman Function Sitting on a Tree	2019	Nicola Arcozzi Irina Holmes Pavel Mozolyako Alexander Volberg	3
+ PDF Chat	Monge-Ampère equation and Bellman optimization of Carleson embedding theorems	2009	Vasily Vasyunin Alexander Volberg	2
+ PDF Chat	Bonded projections, duality, and multipliers in spaces of analytic functions	1971	A. L. Shields D. L. Williams	2
+ PDF Chat	Asymptotic Values of Subharmonic Functions	1996	José Fernández Juha Heinonen José G. Llorente	2