Class information for:
Level 1: COMPOSITION OPERATOR//BLOCH SPACE//WEIGHTED COMPOSITION OPERATOR

Basic class information
Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
318 3       MATHEMATICS//STUDIA MATHEMATICA//MATH 39244
1123 2             COMPOSITION OPERATOR//TOEPLITZ OPERATOR//BERGMAN SPACE 9999
1249 1                   COMPOSITION OPERATOR//BLOCH SPACE//WEIGHTED COMPOSITION OPERATOR 2782

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMPOSITION OPERATOR authKW 3451451 16% 69% 443
2 BLOCH SPACE authKW 1758181 6% 92% 169
3 WEIGHTED COMPOSITION OPERATOR authKW 1602538 7% 73% 194
4 BLOCH TYPE SPACE authKW 1404636 4% 99% 125
5 ESSENTIAL NORM authKW 1061976 4% 80% 117
6 BERGMAN SPACE authKW 913021 7% 42% 193
7 CARLESON MEASURE authKW 704994 4% 50% 124
8 WEIGHTED BERGMAN SPACE authKW 678183 4% 60% 100
9 MIXED NORM SPACE authKW 554995 2% 78% 63
10 HARDY SPACE authKW 534070 8% 21% 223

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 133054 93% 0% 2591
2 Mathematics, Applied 21599 35% 0% 983
3 Computer Science, Theory & Methods 113 2% 0% 68
4 Statistics & Probability -0 1% 0% 16
5 Multidisciplinary Sciences -0 0% 0% 7
6 Mathematics, Interdisciplinary Applications -6 0% 0% 5
7 Automation & Control Systems -10 0% 0% 1
8 Physics, Mathematical -11 0% 0% 6
9 Computer Science, Software Engineering -11 0% 0% 2
10 Computer Science, Interdisciplinary Applications -16 0% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH LENS EA 2462 69362 1% 44% 14
2 ANAL MATEMAT 62208 4% 5% 122
3 PAUL PAINLEVE UMR CNRS 8524 60405 0% 67% 8
4 FEDERAT CNRS NORD PAS DE CALAIS FR 2956 59578 0% 48% 11
5 ST PETERSBURG BRANCH POMI 50968 0% 75% 6
6 UNIDAD ALM 50452 0% 64% 7
7 MATH 45294 48% 0% 1331
8 MATEMAT LICADA ANAL 44962 2% 9% 43
9 U ARTOIS 31459 0% 56% 5
10 NONLINEAR SCI ENGN COMP 23592 0% 42% 5

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL EQUATIONS AND OPERATOR THEORY 86390 5% 6% 132
2 COMPLEX ANALYSIS AND OPERATOR THEORY 47109 2% 8% 53
3 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 34066 2% 5% 67
4 JOURNAL OF FUNCTION SPACES AND APPLICATIONS 29930 1% 9% 31
5 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 27881 2% 5% 48
6 MICHIGAN MATHEMATICAL JOURNAL 24040 2% 4% 56
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 23937 8% 1% 214
8 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 19565 2% 4% 44
9 JOURNAL OF FUNCTIONAL ANALYSIS 18280 4% 2% 104
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 14402 5% 1% 148

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 COMPOSITION OPERATOR 3451451 16% 69% 443 Search COMPOSITION+OPERATOR Search COMPOSITION+OPERATOR
2 BLOCH SPACE 1758181 6% 92% 169 Search BLOCH+SPACE Search BLOCH+SPACE
3 WEIGHTED COMPOSITION OPERATOR 1602538 7% 73% 194 Search WEIGHTED+COMPOSITION+OPERATOR Search WEIGHTED+COMPOSITION+OPERATOR
4 BLOCH TYPE SPACE 1404636 4% 99% 125 Search BLOCH+TYPE+SPACE Search BLOCH+TYPE+SPACE
5 ESSENTIAL NORM 1061976 4% 80% 117 Search ESSENTIAL+NORM Search ESSENTIAL+NORM
6 BERGMAN SPACE 913021 7% 42% 193 Search BERGMAN+SPACE Search BERGMAN+SPACE
7 CARLESON MEASURE 704994 4% 50% 124 Search CARLESON+MEASURE Search CARLESON+MEASURE
8 WEIGHTED BERGMAN SPACE 678183 4% 60% 100 Search WEIGHTED+BERGMAN+SPACE Search WEIGHTED+BERGMAN+SPACE
9 MIXED NORM SPACE 554995 2% 78% 63 Search MIXED+NORM+SPACE Search MIXED+NORM+SPACE
10 HARDY SPACE 534070 8% 21% 223 Search HARDY+SPACE Search HARDY+SPACE

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1


rank cluster_id2 link
1 16643 TOEPLITZ OPERATOR//BERGMAN SPACE//BEREZIN TRANSFORM
2 32238 BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS//MAXIMUM MODULUS SET//RADON INVERSION PROBLEM
3 19314 STATIONARY SCHRODINGER OPERATOR//GROWTH PROPERTY//STATIONARY SCHRODINGER EQUATION
4 24877 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
5 17265 CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//TOPOLOGICAL STABLE RANK
6 19884 INTERPOLATING VARIETY//KORENBLUMS MAXIMUM PRINCIPLE//WEAKLY SUFFICIENT SET
7 17207 STARLIKE MAPPING//BIHOLOMORPHIC MAPPING//LOEWNER CHAIN
8 4915 INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY
9 37375 SWISS CHEESES//LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED
10 29808 LEFT INVARIANT DIFFERENTIAL OPERATORS//NORMAL J ALGEBRA//EVOLUTION KERNEL

Go to start page