Ryan Alvarado

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All published works

Action	Title	Year	Authors
+ PDF Chat	Borel regularity is equivalent to Lusin's theorem and the existence of Borel representatives	2024	Ryan Alvarado Przemysław Górka Artur Słabuszewski
+ PDF Chat	Compact embeddings of Sobolev, Besov, and Triebel-Lizorkin spaces	2024	Ryan Alvarado Przemysław Górka Artur Słabuszewski
+	Optimal embeddings for Triebel–Lizorkin and Besov spaces on quasi-metric measure spaces	2024	Ryan Alvarado Dachun Yang Wen Yuan
+ PDF Chat	A simple proof of reflexivity and separability of N^{1,p} Sobolev spaces	2023	Ryan Alvarado Piotr Hajłasz Lukáš Malý
+ PDF Chat	A measure characterization of embedding and extension domains for Sobolev, Triebel–Lizorkin, and Besov spaces on spaces of homogeneous type	2022	Ryan Alvarado Dachun Yang Wen Yuan
+ PDF Chat	Pointwise characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type	2022	Ryan Alvarado Fan Wang Dachun Yang Wen Yuan
+	Optimal Embeddings for Triebel-Lizorkin and Besov Spaces on Quasi-Metric Measure Spaces	2022	Ryan Alvarado Dachun Yang Wen Yuan
+	Pointwise Characterization of Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type	2022	Ryan Alvarado Fan Wang Dachun Yang Wen Yuan
+	A Measure Characterization of Embedding and Extension Domains for Sobolev, Triebel-Lizorkin, and Besov Spaces on Spaces of Homogeneous Type	2022	Ryan Alvarado Dachun Yang Wen Yuan
+	A simple proof of reflexivity and separability of $N^{1,p}$ Sobolev spaces	2022	Ryan Alvarado Piotr Hajłasz Lukáš Malý
+	Sobolev embedding for M1, spaces is equivalent to a lower bound of the measure	2020	Ryan Alvarado Przemysław Górka Piotr Hajłasz
+ PDF Chat	A note on metric-measure spaces supporting Poincaré inequalities	2020	Ryan Alvarado Piotr Hajłasz
+	The Game of Cycles	2020	Ryan Alvarado Maia Averett Benjamin Gaines Christopher Jackson Mary Leah Karker Małgorzata Marciniak Francis Edward Su Shanise Walker
+	The Game of Cycles	2020	Ryan Alvarado Maia Averett Benjamin Gaines Christopher Jackson Mary Leah Karker Małgorzata Marciniak Francis Edward Su Shanise Walker
+	A note on metric-measure spaces supporting Poincar\'e inequalities	2019	Ryan Alvarado Piotr Hajłasz
+	Sobolev embedding for $M^{1,p}$ spaces is equivalent to a lower bound of the measure	2019	Ryan Alvarado Przemysław Górka Piotr Hajłasz
+	A note on metric-measure spaces supporting Poincaré inequalities	2019	Ryan Alvarado Piotr Hajłasz
+	Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces: A Sharp Theory	2015	Ryan Alvarado Marius Mitrea
+	Topics in geometric analysis and harmonic analysis on spaces of homogeneous type	2015	Ryan Alvarado
+	Boundedness of Linear Operators Defined on H p (X)	2015	Ryan Alvarado Marius Mitrea
+	Analysis on Spaces of Homogeneous Type	2015	Ryan Alvarado Marius Mitrea
+	Geometry of Quasi-Metric Spaces	2015	Ryan Alvarado Marius Mitrea
+	Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces	2015	Ryan Alvarado Marius Mitrea
+	Introduction	2015	Ryan Alvarado Marius Mitrea
+	Further Results	2015	Ryan Alvarado Marius Mitrea
+	Besov and Triebel-Lizorkin Spaces on Ahlfors-Regular Quasi-Metric Spaces	2015	Ryan Alvarado Marius Mitrea
+	Atomic Theory of Hardy Spaces	2015	Ryan Alvarado Marius Mitrea
+	Maximal Theory of Hardy Spaces	2015	Ryan Alvarado Marius Mitrea
+	Molecular and Ionic Theory of Hardy Spaces	2015	Ryan Alvarado Marius Mitrea
+	Whitney-type extensions in quasi-metric spaces	2012	Ryan Alvarado Irina Mitrea Marius Mitrea
+	On the regularity of domains satisfying a uniform hour–glass condition and a sharp version of the Hopf–Oleinik boundary point principle	2011	Ryan Alvarado Dan Brigham Vladimir Maz’ya Marius Mitrea Elia Ziadé
+ PDF Chat	Sharp Geometric Maximum Principles for Semi-Elliptic Operators with Singular Drift	2011	Ryan Alvarado Dan Brigham Vladimir Maz’ya Marius Mitrea Elia Ziadé
+	Topics in harmonic analysis and partial differential equations: extension theorems and geometric maximum principles	2011	Ryan Alvarado

Common Coauthors

Coauthor	Papers Together
Marius Mitrea	14
Piotr Hajłasz	7
Dachun Yang	6
Wen Yuan	4
Przemysław Górka	4
Shanise Walker	2
Elia Ziadé	2
Benjamin Gaines	2
Mary Leah Karker	2
Vladimir Maz′ya	2
Fan Wang	2
Wen Yuan	2
Artur Słabuszewski	2
Dan Brigham	2
Lukáš Malý	2
Francis Edward Su	2
Małgorzata Marciniak	2
Maia Averett	1
Irina Mitrea	1
Christopher Jackson	1
Maia Averett	1
Christopher Jackson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Extensions of Hardy spaces and their use in analysis	1977	Ronald R. Coifman Guido Weiss	12
+	A decomposition into atoms of distributions on spaces of homogeneous type	1979	Roberto Macías Carlos Segovia	9
+	Groupoid Metrization Theory	2012	Dorina Mitrea Irina Mitrea Marius Mitrea Sylvie Monniaux	6
+ PDF Chat	From Sobolev inequality to doubling	2015	Lyudmila Korobenko Diego Maldonado Cristian Rios	6
+	Lipschitz functions on spaces of homogeneous type	1979	Roberto Macías Carlos Segovia	6
+	Analyse Harmonique Non-Commutative sur Certains Espaces Homogenes	1971	Ronald R. Coifman Guido Weiss	6
+	Differentiability of Lipschitz Functions on Metric Measure Spaces	1999	Jeff Cheeger	5
+ PDF Chat	Newtonian spaces: An extension of Sobolev spaces to metric measure spaces	2000	Nageswari Shanmugalingam	5
+	Nonlinear Potential Theory on Metric Spaces	2011	Anders Björn Jana Björn	5
+ PDF Chat	Quasiconformal mappings and extendability of functions in sobolev spaces	1981	Peter W. Jones	5
+	Sobolev embeddings, extensions and measure density condition	2008	Piotr Hajłasz Pekka Koskela Heli Tuominen	5
+	Sobolev spaces on an arbitrary metric space	1996	Piotr Hajłasz	5
+	Orlicz Sobolev Inequalities and the Doubling Condition	2019	Lyudmila Korobenko	4
+ PDF Chat	Pointwise characterizations of Besov and Triebel–Lizorkin spaces and quasiconformal mappings	2010	Pekka Koskela Dachun Yang Yuan Zhou	4
+	A maximal function characterization of Hardy spaces on spaces of homogeneous type	1998	Wenming Li	4
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	4
+ PDF Chat	Sobolev Spaces on Riemannian Manifolds	1996	Emmanuel Hebey	4
+	Measure density and embeddings of Hajłasz-Besov and Hajłasz-Triebel-Lizorkin spaces	2019	Nijjwal Karak	4
+	Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type	2006	Yongsheng Han Detlef Müller Dachun Yang	4
+	Harmonic Analysis (PMS-43)	1993	Elias M. Stein	4
+ PDF Chat	In Metric-measure Spaces Sobolev Embedding is Equivalent to a Lower Bound for the Measure	2016	Przemysław Górka	4
+ PDF Chat	Measure density and extendability of Sobolev functions	2008	Piotr Hajłasz Pekka Koskela Heli Tuominen	4
+	Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients	2015	Juha Heinonen Pekka Koskela Nageswari Shanmugalingam Jeremy T. Tyson	4
+ PDF Chat	Quasiconformal maps in metric spaces with controlled geometry	1998	Juha Heinonen Pekka Koskela	4
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen	4
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	3
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	3
+	Harmonic Analysis on Spaces of Homogeneous Type	2008	Dong-gao Deng Yongsheng Han	3
+ PDF Chat	Lower bound of measure and embeddings of Sobolev, Besov and Triebel–Lizorkin spaces	2019	Nijjwal Karak	3
+ PDF Chat	Inégalités isopérimétriques et inégalités de Faber-Krahn	1995	Gilles Carron	3
+	Sobolev embedding for M1, spaces is equivalent to a lower bound of the measure	2020	Ryan Alvarado Przemysław Górka Piotr Hajłasz	3
+	Whitney-type extensions in quasi-metric spaces	2012	Ryan Alvarado Irina Mitrea Marius Mitrea	3
+ PDF Chat	BOUNDEDNESS OF SINGULAR INTEGRALS IN HARDY SPACES ON SPACES OF HOMOGENEOUS TYPE	2009	Guoen Hu Dachun Yang Yuan Zhou	3
+ PDF Chat	Hp spaces of several variables	1972	Charles Fefferman E. M. Stein	3
+ PDF Chat	A Theory of Besov and Triebel‐Lizorkin Spaces on Metric Measure Spaces Modeled on Carnot‐Carathéodory Spaces	2008	Yongsheng Han Detlef Müller Dachun Yang	3
+	Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces: A Sharp Theory	2015	Ryan Alvarado Marius Mitrea	3
+	Maximal function characterizations of Hardy spaces on RD-spaces and their applications	2008	Loukas Grafakos Liguang Liu Dachun Yang	3
+	Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces	1994	Yong Sheng Han Eric T. Sawyer	3
+	The maximum principle for an elliptic ? Parabolic equation of the second order	1973	L. I. Kamynin B. N. Khimchenko	2
+ PDF Chat	On the division of distributions by polynomials	1958	Lars Hörmander	2
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	2
+ PDF Chat	A real variable characterization of $H^{p}$	1974	Ronald R. Coifman	2
+	Boundary behavior of harmonic functions in non-tangentially accessible domains	1982	David Jerison Carlos E. Kenig	2
+	Boundedness of operators on Hardy spaces via atomic decompositions	2005	Marcin Bownik	2
+ PDF Chat	Pointwise characterizations of Hardy-Sobolev functions	2008	Pekka Koskela Eero Saksman	2
+ PDF Chat	Characterizations of bounded mean oscillation	1971	Charles Fefferman	2
+ PDF Chat	A maximal function characterization of 𝐻^{𝑝} on the space of homogeneous type	1980	Akihito Uchiyama	2
+ PDF Chat	Optimal quasi-metrics in a given pointwise equivalence class do not always exist	2015	Dan Brigham Marius Mitrea	2
+ PDF Chat	On the existence of certain singular integrals	1952	A. P. Calderón A. Zygmund	2
+ PDF Chat	Some new spaces of Besov and Triebel–Lizorkin type on homogeneous spaces	2003	Yongsheng Han Dachun Yang	2