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Garnett, John Brady

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Author ID: garnett.john-brady Recent zbMATH articles by "Garnett, John Brady"
Published as: Garnett, John B.; Garnett, John; Garnett, J.; Garnett, J. B.; Garnett, John Brady
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Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 2,304 times in 2,112 Documents Cited by Year
Bounded analytic functions. Zbl 0469.30024
Garnett, John B.
1981
Harmonic measure. Zbl 1077.31001
Garnett, John B.; Marshall, Donald E.
147
2005
Bounded analytic functions. Revised 1st ed. Zbl 1106.30001
Garnett, John B.
111
2006
Analytic capacity and measure. Zbl 0253.30014
Garnett, John
100
1972
Gaps and bands of one dimensional periodic Schrödinger operators. Zbl 0554.34013
Garnett, John; Trubowitz, Eugene
48
1984
BMO from dyadic BMO. Zbl 0516.46021
Garnett, John B.; Jones, Peter W.
40
1982
Bounded analytic functions. (Ogranichennye analiticheskie funktsii). Transl. from the English. Zbl 0542.30003
Garnett, John B.
31
1984
Positive length but zero analytic capacity. Zbl 0208.09803
Garnett, J.
29
1970
Harmonic measure. Paperback reprint of the hardback edition 2005. Zbl 1139.31001
Garnett, John B.; Marshall, Donald E.
28
2008
Pointwise bounded approximation and Dirichlet algebras. Zbl 0223.30056
Gamelin, T. W.; Garnett, John
25
1971
Gaps and bands of one dimensional periodic Schrödinger operators. II. Zbl 0649.34034
Garnett, John; Trubowitz, Eugene
24
1987
The Corona theorem for Denjoy domains. Zbl 0578.30043
Garnett, John B.; Jones, Peter W.
24
1985
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations. Zbl 1248.35023
Bertozzi, Andrea L.; Garnett, John B.; Laurent, Thomas
24
2012
The distance in BMO to \(L^\infty\). Zbl 0383.26010
Garnett, John B.; Jones, Peter W.
24
1978
Image decompositions using bounded variation and generalized homogeneous Besov spaces. Zbl 1118.68176
Garnett, John B.; Le, Triet M.; Meyer, Yves; Vese, Luminita A.
22
2007
Distance estimates and pointwise bounded density. Zbl 0263.30033
Davie, A. M.; Gamelin, T. W.; Garnett, J.
20
1973
Constructive techniques in rational approximation. Zbl 0193.03501
Gamelin, T. W.; Garnett, J.
19
1969
Distinguished homomorphisms and fiber algebras. Zbl 0212.15302
Gamelin, T. W.; Garnett, J.
19
1970
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
18
1989
A doubling measure on \(\mathbb {R}^d\) can charge a rectifiable curve. Zbl 1196.28007
Garnett, John; Killip, Rowan; Schul, Raanan
18
2010
Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions. Zbl 1396.28005
Garnett, John; Mourgoglou, Mihalis; Tolsa, Xavier
17
2018
The atomic decomposition for Hardy spaces in several complex variables. Zbl 0403.32006
Garnett, John B.; Latter, Robert H.
17
1978
Conformally invariant length sums. Zbl 0541.30013
Garnett, J. B.; Gehring, F. W.; Jones, P. W.
16
1983
Uniform approximation to bounded analytic functions. Zbl 0225.30039
Gamelin, T. W.; Garnett, John
14
1970
The distance in BMO to \(L^\infty\). Zbl 0358.26010
Garnett, John B.; Jones, Peter W.
14
1978
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
13
1975
Interpolating sequences for bounded harmonic functions. Zbl 0236.30042
Garnett, John
12
1971
Bounded approximation by rational functions. Zbl 0244.30038
Gamelin, T. W.; Garnett, John
11
1973
Interpolating Blaschke products generate \(H^ \infty\). Zbl 0871.30031
Garnett, John; Nicolau, Artur
10
1996
Square functions and uniform rectifiability. Zbl 1343.42010
Chousionis, Vasileios; Garnett, John; Le, Triet; Tolsa, Xavier
9
2016
Applications of harmonic measure. Zbl 0623.31001
Garnett, John B.
8
1986
Quasiextremal distance domains and integrability of derivatives of conformal mappings. Zbl 0809.30005
Garnett, John B.; Yang, Shanshuang
8
1994
On a theorem of Mergelyan. Zbl 0165.15904
Garnett, J.
7
1968
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
6
2016
Algebras with the same multiplicative measures. Zbl 0159.42101
Garnett, J.; Glicksberg, I.
6
1967
On badly approximable functions. Zbl 0337.30028
Gamelin, T. W.; Garnett, J. B.; Rubel, L. A.; Shields, A. L.
6
1976
Weights and L log L. Zbl 0584.42013
Carbery, A.; Chang, S.-Y. A.; Garnett, J.
5
1985
Algebras generated by inner functions. Zbl 0348.46044
Bernard, Alain; Garnett, John B.; Marshall, Donald E.
5
1977
Modeling oscillatory components with the homogeneous spaces \({B\dot MO}^{-\alpha}\) and \(\dot W^{-\alpha,p}\). Zbl 1245.94020
Garnett, John B.; Jones, Peter W.; Le, Triet M.; Vese, Luminita A.
5
2011
A topological characterization of Gleason parts. Zbl 0145.38701
Garnett, J.
4
1967
Lipschitz harmonic capacity and bilipschitz images of Cantor sets. Zbl 1108.31005
Garnett, John; Prat, Laura; Tolsa, Xavier
4
2006
Pointwise bounded approximation and hypodirichlet algebras. Zbl 0206.12802
Gamelin, T. W.; Garnett, J.
3
1971
Two remarks on interpolation by bounded analytic functions. Zbl 0376.30010
Garnett, John B.
3
1977
Metric conditions for rational approximation. Zbl 0268.46048
Garnett, John
3
1970
Analytic capacity, bilipschitz maps and Cantor sets. Zbl 1063.30025
Garnett, John; Verdera, Joan
2
2003
Sobolev approximation by a sum of subalgebras on the circle. Zbl 0348.30035
Garnett, John B.; O’Farrell, Anthony G.
2
1976
Analyticity of functions and subalgebras of \(L^\infty\) containing \(H^\infty\). Zbl 0391.30022
Chang, S.-Y. A.; Garnett, J. B.
2
1978
Quasiconformal groups and the conical limit set. Zbl 0654.30013
Garnett, J. B.; Gehring, F. W.; Jones, P. W.
1
1988
A texture model based on a concentration of measure. Zbl 1273.49038
Schaeffer, Hayden; Garnett, John; Vese, Luminita A.
1
2013
Large sets of zero analytic capacity. Zbl 1062.30025
Garnett, John; Yoshinobu, Stan
1
2001
Vitushkin’s localization operator. Zbl 0223.46030
Garnett, John
1
1971
Almost isometric maps of the hyperbolic plane. Zbl 0798.30033
Garnett, J. B.; Papadimitrakis, M.
1
1991
Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions. Zbl 1396.28005
Garnett, John; Mourgoglou, Mihalis; Tolsa, Xavier
17
2018
Square functions and uniform rectifiability. Zbl 1343.42010
Chousionis, Vasileios; Garnett, John; Le, Triet; Tolsa, Xavier
9
2016
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
6
2016
A texture model based on a concentration of measure. Zbl 1273.49038
Schaeffer, Hayden; Garnett, John; Vese, Luminita A.
1
2013
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations. Zbl 1248.35023
Bertozzi, Andrea L.; Garnett, John B.; Laurent, Thomas
24
2012
Modeling oscillatory components with the homogeneous spaces \({B\dot MO}^{-\alpha}\) and \(\dot W^{-\alpha,p}\). Zbl 1245.94020
Garnett, John B.; Jones, Peter W.; Le, Triet M.; Vese, Luminita A.
5
2011
A doubling measure on \(\mathbb {R}^d\) can charge a rectifiable curve. Zbl 1196.28007
Garnett, John; Killip, Rowan; Schul, Raanan
18
2010
Harmonic measure. Paperback reprint of the hardback edition 2005. Zbl 1139.31001
Garnett, John B.; Marshall, Donald E.
28
2008
Image decompositions using bounded variation and generalized homogeneous Besov spaces. Zbl 1118.68176
Garnett, John B.; Le, Triet M.; Meyer, Yves; Vese, Luminita A.
22
2007
Bounded analytic functions. Revised 1st ed. Zbl 1106.30001
Garnett, John B.
111
2006
Lipschitz harmonic capacity and bilipschitz images of Cantor sets. Zbl 1108.31005
Garnett, John; Prat, Laura; Tolsa, Xavier
4
2006
Harmonic measure. Zbl 1077.31001
Garnett, John B.; Marshall, Donald E.
147
2005
Analytic capacity, bilipschitz maps and Cantor sets. Zbl 1063.30025
Garnett, John; Verdera, Joan
2
2003
Large sets of zero analytic capacity. Zbl 1062.30025
Garnett, John; Yoshinobu, Stan
1
2001
Interpolating Blaschke products generate \(H^ \infty\). Zbl 0871.30031
Garnett, John; Nicolau, Artur
10
1996
Quasiextremal distance domains and integrability of derivatives of conformal mappings. Zbl 0809.30005
Garnett, John B.; Yang, Shanshuang
8
1994
Almost isometric maps of the hyperbolic plane. Zbl 0798.30033
Garnett, J. B.; Papadimitrakis, M.
1
1991
Harmonic measures supported on curves. Zbl 0677.30017
Bishop, C. J.; Carleson, L.; Garnett, J. B.; Jones, P. W.
18
1989
Quasiconformal groups and the conical limit set. Zbl 0654.30013
Garnett, J. B.; Gehring, F. W.; Jones, P. W.
1
1988
Gaps and bands of one dimensional periodic Schrödinger operators. II. Zbl 0649.34034
Garnett, John; Trubowitz, Eugene
24
1987
Applications of harmonic measure. Zbl 0623.31001
Garnett, John B.
8
1986
The Corona theorem for Denjoy domains. Zbl 0578.30043
Garnett, John B.; Jones, Peter W.
24
1985
Weights and L log L. Zbl 0584.42013
Carbery, A.; Chang, S.-Y. A.; Garnett, J.
5
1985
Gaps and bands of one dimensional periodic Schrödinger operators. Zbl 0554.34013
Garnett, John; Trubowitz, Eugene
48
1984
Bounded analytic functions. (Ogranichennye analiticheskie funktsii). Transl. from the English. Zbl 0542.30003
Garnett, John B.
31
1984
Conformally invariant length sums. Zbl 0541.30013
Garnett, J. B.; Gehring, F. W.; Jones, P. W.
16
1983
BMO from dyadic BMO. Zbl 0516.46021
Garnett, John B.; Jones, Peter W.
40
1982
Bounded analytic functions. Zbl 0469.30024
Garnett, John B.
1981
The distance in BMO to \(L^\infty\). Zbl 0383.26010
Garnett, John B.; Jones, Peter W.
24
1978
The atomic decomposition for Hardy spaces in several complex variables. Zbl 0403.32006
Garnett, John B.; Latter, Robert H.
17
1978
The distance in BMO to \(L^\infty\). Zbl 0358.26010
Garnett, John B.; Jones, Peter W.
14
1978
Analyticity of functions and subalgebras of \(L^\infty\) containing \(H^\infty\). Zbl 0391.30022
Chang, S.-Y. A.; Garnett, J. B.
2
1978
Algebras generated by inner functions. Zbl 0348.46044
Bernard, Alain; Garnett, John B.; Marshall, Donald E.
5
1977
Two remarks on interpolation by bounded analytic functions. Zbl 0376.30010
Garnett, John B.
3
1977
On badly approximable functions. Zbl 0337.30028
Gamelin, T. W.; Garnett, J. B.; Rubel, L. A.; Shields, A. L.
6
1976
Sobolev approximation by a sum of subalgebras on the circle. Zbl 0348.30035
Garnett, John B.; O’Farrell, Anthony G.
2
1976
Interpolating sequences and separation properties. Zbl 0347.30032
Carleson, Lennart; Garnett, John
13
1975
Distance estimates and pointwise bounded density. Zbl 0263.30033
Davie, A. M.; Gamelin, T. W.; Garnett, J.
20
1973
Bounded approximation by rational functions. Zbl 0244.30038
Gamelin, T. W.; Garnett, John
11
1973
Analytic capacity and measure. Zbl 0253.30014
Garnett, John
100
1972
Pointwise bounded approximation and Dirichlet algebras. Zbl 0223.30056
Gamelin, T. W.; Garnett, John
25
1971
Interpolating sequences for bounded harmonic functions. Zbl 0236.30042
Garnett, John
12
1971
Pointwise bounded approximation and hypodirichlet algebras. Zbl 0206.12802
Gamelin, T. W.; Garnett, J.
3
1971
Vitushkin’s localization operator. Zbl 0223.46030
Garnett, John
1
1971
Positive length but zero analytic capacity. Zbl 0208.09803
Garnett, J.
29
1970
Distinguished homomorphisms and fiber algebras. Zbl 0212.15302
Gamelin, T. W.; Garnett, J.
19
1970
Uniform approximation to bounded analytic functions. Zbl 0225.30039
Gamelin, T. W.; Garnett, John
14
1970
Metric conditions for rational approximation. Zbl 0268.46048
Garnett, John
3
1970
Constructive techniques in rational approximation. Zbl 0193.03501
Gamelin, T. W.; Garnett, J.
19
1969
On a theorem of Mergelyan. Zbl 0165.15904
Garnett, J.
7
1968
Algebras with the same multiplicative measures. Zbl 0159.42101
Garnett, J.; Glicksberg, I.
6
1967
A topological characterization of Gleason parts. Zbl 0145.38701
Garnett, J.
4
1967
all top 5

Cited by 1,813 Authors

43 Mortini, Raymond
30 Korotyaev, Evgeny L.
29 Gorkin, Pamela B.
28 Izuchi, Keiji
26 Qian, Tao
24 Dyakonov, Konstantin M.
19 Nicolau, Artur
19 Rättyä, Jouni
18 Bishop, Christopher James
18 Zheng, Dechao
17 Karlovich, Yuri I.
17 Tolsa, Xavier
16 Baratchart, Laurent
15 Girela, Daniel
14 Akeroyd, John R.
14 Hedenmalm, Håkan
14 Wick, Brett D.
14 Xia, Jingbo
13 Gamelin, Theodore W.
13 Lou, Zengjian
13 Peláez, José Ángel
13 Treil, Sergei
12 Baranov, Anton D.
12 Hofmann, Steve
12 Leblond, Juliette
12 Qian, Ruishen
12 Ross, William T.
12 Shen, Yuliang
12 Totik, Vilmos
12 Wu, Zhijian
11 Boche, Holger
11 Brudnyi, Alexander
11 Izuchi, Yuko
11 Jones, Peter Wilcox
11 Nakazi, Takahiko
11 Wulan, Hasi
11 Zhu, Kehe
10 Borichev, Aleksandr Aleksandrovich
10 Garnett, John Brady
10 Hartmann, Andreas
10 Khavinson, Dmitry S.
10 Liu, Taishun
10 Lubinsky, Doron S.
10 McNicholl, Timothy H.
10 Xiao, Jie
10 Zinsmeister, Michel
9 Blasco, Oscar
9 Böttcher, Albrecht
9 Ghatage, Pratibha G.
9 Ohno, Shûichi
9 Pérez-González, Fernando
9 Ransford, Thomas J.
9 Sundberg, Carl-Erik W.
9 Tang, Xiaomin
9 Toro, Tatiana
9 Volberg, Alexander Lvovich
9 Wei, Huaying
9 Yuditskii, Peter Meerovich
8 Astala, Kari
8 Bao, Guanlong
8 Gallardo-Gutiérrez, Eva Antonia
8 González, María José
8 Gubreev, Gennadiĭ Mykhaĭlovych
8 Guo, Kunyu
8 Li, Songxiao
8 Lindström, Mikael
8 Matheson, Alec L.
8 Mourgoglou, Mihalis
8 Nestoridis, Vassili
8 Pipher, Jill Catherine
8 Saksman, Eero
8 Smith, Wayne Stewart
8 Tan, Lihui
8 Thomas, Pascal J.
8 Wegert, Elias
7 Azzam, Jonas
7 Badger, Matthew
7 Betsakos, Dimitrios
7 Cima, Joseph A.
7 Golinskii, Leonid Borisovich
7 Huang, Hansong
7 Kenig, Carlos Eduardo
7 Mashreghi, Javad
7 Massaneda, Xavier
7 Mayboroda, Svitlana
7 McCarthy, John Edward
7 Nieminen, Pekka J.
7 Rupp, Rudolf
7 Spitkovsky, Ilya Matvey
7 Suárez, Fernando Daniel
7 Trent, Tavan T.
7 Vuorinen, Matti Keijo Kustaa
7 Ward, Lesley A.
7 Yang, Shanshuang
7 Younis, Rahman M.
6 Aleman, Alexandru
6 David, Guy
6 Davie, Alexander M.
6 Kalaj, David
6 Krantz, Steven George
...and 1,713 more Authors
all top 5

Cited in 294 Serials

162 Journal of Functional Analysis
125 Proceedings of the American Mathematical Society
118 Journal of Mathematical Analysis and Applications
107 Transactions of the American Mathematical Society
77 Journal d’Analyse Mathématique
72 Integral Equations and Operator Theory
46 Journal of Approximation Theory
44 Arkiv för Matematik
43 The Journal of Geometric Analysis
41 Complex Analysis and Operator Theory
38 Computational Methods and Function Theory
34 Advances in Mathematics
33 Journal of Mathematical Sciences (New York)
30 Mathematische Annalen
29 Mathematical Notes
29 St. Petersburg Mathematical Journal
28 Mathematische Zeitschrift
24 Annales de l’Institut Fourier
22 Bulletin of the Australian Mathematical Society
21 Rocky Mountain Journal of Mathematics
20 Duke Mathematical Journal
18 Archiv der Mathematik
18 Functional Analysis and its Applications
18 Journal of Soviet Mathematics
18 Revista Matemática Iberoamericana
17 Constructive Approximation
16 Israel Journal of Mathematics
15 Communications in Mathematical Physics
15 The Journal of Fourier Analysis and Applications
15 Science China. Mathematics
13 Ukrainian Mathematical Journal
13 Acta Mathematica
13 Journal of Differential Equations
13 Journal of the American Mathematical Society
12 Inventiones Mathematicae
12 Proceedings of the Edinburgh Mathematical Society. Series II
12 Potential Analysis
12 Annales Academiae Scientiarum Fennicae. Mathematica
11 Mathematische Nachrichten
11 Systems & Control Letters
11 Linear Algebra and its Applications
11 Acta Mathematica Sinica. English Series
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Illinois Journal of Mathematics
9 Siberian Mathematical Journal
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Journal of the Australian Mathematical Society
9 Analysis and Mathematical Physics
8 Collectanea Mathematica
8 Memoirs of the American Mathematical Society
8 Results in Mathematics
8 Probability Theory and Related Fields
8 Indagationes Mathematicae. New Series
8 Calculus of Variations and Partial Differential Equations
8 Abstract and Applied Analysis
8 Mediterranean Journal of Mathematics
7 Journal of Computational and Applied Mathematics
7 Michigan Mathematical Journal
7 Russian Mathematics
7 International Journal of Wavelets, Multiresolution and Information Processing
6 Applied Mathematics and Computation
6 Quaestiones Mathematicae
6 Tohoku Mathematical Journal. Second Series
6 Topology and its Applications
6 Science in China. Series A
6 Geometric and Functional Analysis. GAFA
6 Applied and Computational Harmonic Analysis
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Bulletin of the American Mathematical Society
5 Mathematical Methods in the Applied Sciences
5 Studia Mathematica
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Bulletin of the London Mathematical Society
5 Czechoslovak Mathematical Journal
5 Communications in Partial Differential Equations
5 Applied Mathematics. Series B (English Edition)
5 Russian Journal of Mathematical Physics
5 Bulletin des Sciences Mathématiques
5 Conformal Geometry and Dynamics
5 Journal of Function Spaces and Applications
5 Complex Variables and Elliptic Equations
5 SIAM Journal on Imaging Sciences
5 Journal of Function Spaces
4 Glasgow Mathematical Journal
4 Kodai Mathematical Journal
4 Ergodic Theory and Dynamical Systems
4 Chinese Annals of Mathematics. Series B
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Physica D
4 International Journal of Mathematics
4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
4 SIAM Journal on Mathematical Analysis
4 Bulletin of the American Mathematical Society. New Series
4 Georgian Mathematical Journal
4 Filomat
4 Sbornik: Mathematics
4 Complex Analysis and its Synergies
4 Annales Fennici Mathematici
3 Archive for Rational Mechanics and Analysis
3 Letters in Mathematical Physics
...and 194 more Serials
all top 5

Cited in 51 Fields

1,061 Functions of a complex variable (30-XX)
598 Functional analysis (46-XX)
557 Operator theory (47-XX)
288 Harmonic analysis on Euclidean spaces (42-XX)
184 Potential theory (31-XX)
178 Several complex variables and analytic spaces (32-XX)
165 Partial differential equations (35-XX)
109 Approximations and expansions (41-XX)
94 Measure and integration (28-XX)
78 Probability theory and stochastic processes (60-XX)
70 Ordinary differential equations (34-XX)
50 Numerical analysis (65-XX)
41 Dynamical systems and ergodic theory (37-XX)
41 Information and communication theory, circuits (94-XX)
34 Real functions (26-XX)
34 Systems theory; control (93-XX)
32 Integral transforms, operational calculus (44-XX)
28 Integral equations (45-XX)
26 Quantum theory (81-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
21 Special functions (33-XX)
20 Abstract harmonic analysis (43-XX)
18 Fluid mechanics (76-XX)
15 Computer science (68-XX)
14 Number theory (11-XX)
14 General topology (54-XX)
14 Statistics (62-XX)
13 Differential geometry (53-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Mathematical logic and foundations (03-XX)
12 Global analysis, analysis on manifolds (58-XX)
12 Biology and other natural sciences (92-XX)
9 Group theory and generalizations (20-XX)
9 Convex and discrete geometry (52-XX)
8 History and biography (01-XX)
7 Difference and functional equations (39-XX)
6 Operations research, mathematical programming (90-XX)
4 Sequences, series, summability (40-XX)
4 Mechanics of deformable solids (74-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Algebraic geometry (14-XX)
3 Topological groups, Lie groups (22-XX)
3 Geometry (51-XX)
3 Mechanics of particles and systems (70-XX)
2 Manifolds and cell complexes (57-XX)
2 Optics, electromagnetic theory (78-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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