John B. Garnett

Q: What Schools Are Affiliated With John B. Garnett

John B. Garnett is affiliated with the following schools: University of California, Berkeley, University of California, Los Angeles, University of Washington

John B. Garnett's AcademicInfluence.com Rankings

John B. Garnett

Mathematics

#1870

World Rank

#2975

Historical Rank

#757

USA Rank

Measure Theory

#3104

World Rank

#3681

Historical Rank

#904

USA Rank

mathematics Degrees

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Mathematics

John B. Garnett's Degrees

PhD Mathematics University of California, Berkeley

Why Is John B. Garnett Influential?

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According to Wikipedia, John Brady Garnett is an American mathematician at the University of California, Los Angeles, known for his work in harmonic analysis. He received his Ph.D. at the University of Washington in 1966, under the supervision of Irving Glicksberg. He received the Steele Prize for Mathematical Exposition in 2003 for his book, Bounded Analytic Functions. As of June 2011, he has supervised the dissertations of 25 students including Peter Jones and Jill Pipher.

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John B. Garnett's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Bounded Analytic Functions (2006) (1231)
Analytic capacity and measure (1972) (152)
Gaps and bands of one dimensional periodic Schrödinger operators (1984) (122)
BMO from dyadic BMO (1982) (121)
The Distance in BMO to L (1978) (100)
Image decompositions using bounded variation and generalized homogeneous Besov spaces (2007) (83)
Positive length but zero analytic capacity (1970) (80)
The atomic decomposition for Hardy spaces in several complex variables (1978) (63)
Harmonic measures supported on curves. (1989) (60)
Characterization of Radially Symmetric Finite Time Blowup in Multidimensional Aggregation Equations (2012) (56)
The Corona theorem for Denjoy domains (1985) (54)
Distinguished Homomorphisms and Fiber Algebras (1970) (46)
Pointwise bounded approximation and Dirichlet algebras (1971) (42)
Gaps and bands of one dimensional periodic Schrödinger operators, II (1987) (41)
A doubling measure on R^d can charge a rectifiable curve (2009) (39)
Distance estimates and pointwise bounded density (1973) (38)
Constructive techniques in rational approximation (1969) (37)
Uniform rectifiability from Carleson measure estimates and ε-approximability of bounded harmonic functions (2016) (37)
Interpolating sequences and separation properties (1975) (35)
The Corona Construction (2007) (28)
Modeling Oscillatory Components with The Homogeneous Spaces BM -α and W -α,p* (2011) (27)
Harmonic Measure: Jordan Domains (2005) (27)
Two remarks on interpolation by bounded analytic functions (1977) (25)
Interpolating Sequences for Bounded Harmonic Functions (1971) (20)
Applications of harmonic measure (1986) (19)
Analytic Capacity, Bilipschitz Maps and Cantor Sets (2003) (18)
Interpolating Blaschke products generate $H^\infty$. (1996) (18)
Square functions and uniform rectifiability (2014) (17)
Uniform approximation to bounded analytic functions (1970) (16)
The Regularity of the Boundary of a Multidimensional Aggregation Patch (2015) (15)
Algebras generated by inner functions (1977) (15)
On badly approximable functions (1976) (14)
ON A THEOREM OF MERGELYAN (1968) (14)
Uniform rectifiability, elliptic measure, square functions, and $\varepsilon$-approximability (2016) (13)
Quasiextremal distance domains and integrability of derivatives of conformal mappings. (1994) (13)
INTERPOLATING BLASCHKE PRODUCTS GENERATE H (2004) (12)
INTERPOLATING BLASCHKE PRODUCTS GENERATE H (2004) (12)
Sobolev approximation by a sum of subalgebras on the circle (1976) (10)
A TOPOLOGICAL CHARACTERIZATION OF GLEASON PARTS (1967) (9)
Algebras with the same multiplicative measures (1967) (8)
Errata: Positive Length but Zero Analytic Capacity. (1970) (8)
Bounded approximation by rational functions. (1973) (7)
Book Review: Harmonic measure: Geometric and analytic points of view (2007) (7)
Lipschitz harmonic capacity and Bilipschitz images of cantor sets (2006) (7)
Harmonic interpolating sequences, $L^p$ and BMO (1978) (5)
Weights and L log L (1985) (5)
Pointwise bounded approximation and hypodirichlet algebras (1971) (5)
Quasiconformal groups and the conical limit set (1988) (5)
Weights and $L\,{\rm log}\,L$. (1985) (4)
A convex minimization model in image restoration via one-dimensional Sobolev norm profiles (2011) (4)
Some Extremal Problems (2007) (4)
Metric conditions for rational approximation (1970) (3)
A RANDOM WALK IN ANALYSIS (2011) (3)
Two constructions in BMO (1980) (3)
Disconnected Gleason parts (1966) (2)
A Lipschitz decomposition of minimal surfaces (1992) (2)
Analyticity of functions and subalgebras of ^{∞} containing ^{∞} (1978) (2)
Almost Isometric Maps of the Hyperbolic Plane (1991) (2)
Large sets of zero analytic capacity (2001) (2)
The Order Bound on the Minimum Distance of the One-Point Codes Associated to the Garcia-Stichtenoth Tower (2007) (1)
The cauchy transform (1972) (1)
Applications to approximation (1972) (1)
A texture model based on a concentration of measure (2013) (1)
An estimate for line integrals and an application to distinguished homomorphisms (1975) (1)
Harmonic Measure: Extremal Distance (2005) (0)
Image Restoration Using One-Dimensional Sobolev Norm Profiles of Noise and Texture (2014) (0)
Finitely Connected Domains (2005) (0)
H p Spaces (2007) (0)
Carleson measure estimates and $\varepsilon$-approximation for bounded harmonic functions, without Ahlfors regularity assumptions (2020) (0)
Works Title THE REGULARITY OF THE BOUNDARY OF A MULTIDIMENSIONAL AGGREGATION PATCH Permalink (2015) (0)
A NEW CLASS OF INNER FUNCTIONS UNIFORMLY APPROXIMABLE BY INTERPOLATING BLASCHKE PRODUCTS by (2008) (0)
Bloch Functions and Quasicircles (2005) (0)
LIPSCHITZ HARMONIC CAPACITY , BILIPSCHITZ IMAGES OF CANTOR SETS 21 Case (2006) (0)
Bounded Mean Oscillation (2007) (0)
Harmonic Measure: Bibliography (2005) (0)
On Extrapolation of Carleson Measures (2022) (0)
Some Uniform Algebra (2007) (0)
Some Variational Problems from Image Processing ∗† (2009) (0)
The corona problem for plane domains (2007) (0)
Spectral theory and partial differential equations : conference in honor of James Ralston's 70th birthday, spectral theory and partial differential equations, June 17-21, 2013, University of California, Los Angeles, Los Angeles, California (2015) (0)
On the Iversen-Tsuji Theorem (1974) (0)
Infinitely Connected Domains (2005) (0)
Image Processing Variations with Analytic Kernels (2012) (0)
Applications and Reverse Inequalities (2005) (0)
Spectral Theory and Partial Differential Equations (2015) (0)
2.9. Some open problems concerning H∞ and BMO (1984) (0)
Singular integrals, BMO, Hp (1984) (0)
Rectifiability and Quadratic Expressions (2005) (0)
Simply Connected Domains, Part One (2005) (0)
Interpolating Sequences and Maximal Ideals (2007) (0)
Nexus User's Guide (1994) (0)

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What Schools Are Affiliated With John B. Garnett?

John B. Garnett is affiliated with the following schools:

John B. Garnett's Academic­Influence.com Rankings