Class information for:
Level 2: COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1108 9756 17.3 37%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
1108 2             COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY 9756
1527 1                   COMPOSITION OPERATOR//WEIGHTED COMPOSITION OPERATOR//BLOCH SPACE 2612
4303 1                   ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY 1809
7300 1                   WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM 1384
13892 1                   POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//SUM OF SQUARES 807
14828 1                   TOEPLITZ OPERATOR//BEREZIN TRANSFORM//BERGMAN SPACE 748
15889 1                   GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS 685
17665 1                   CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//FAK ALLGEMEINWISSEN 587
21578 1                   COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE 413
25790 1                   WEIGHTED SHIFT ON A DIRECTED TREE//SUBNORMAL OPERATOR//KATEDRA ZASTOSOWAN MATEMAT 272
30061 1                   2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS 175
30501 1                   INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL 167
35452 1                   PARTIAL AUTOCORRELATION FUNCTIONS//RIGID FUNCTIONS//BAXTERS CONDITION 97

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 COMPOSITION OPERATOR authKW 1136582 5% 77% 472
2 TOEPLITZ OPERATOR authKW 923498 4% 71% 416
3 INTEGRAL EQUATIONS AND OPERATOR THEORY journal 903021 8% 36% 803
4 BERGMAN SPACE authKW 843239 4% 78% 346
5 WEIGHTED COMPOSITION OPERATOR authKW 498397 2% 80% 200
6 BLOCH SPACE authKW 472173 2% 93% 163
7 MATHEMATICS WoSSC 452715 92% 2% 8930
8 BLOCH TYPE SPACE authKW 378482 1% 100% 121
9 WEIGHTED BERGMAN SPACE authKW 377683 1% 87% 139
10 ESSENTIAL NORM authKW 342892 1% 89% 123

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 452715 92% 2% 8930
2 Mathematics, Applied 64990 33% 1% 3202
3 Operations Research & Management Science 135 1% 0% 130
4 Multidisciplinary Sciences 42 1% 0% 61
5 Computer Science, Theory & Methods 38 1% 0% 123
6 Automation & Control Systems 9 1% 0% 60
7 COMPUTER APPLICATIONS & CYBERNETICS 2 0% 0% 2
8 Statistics & Probability 0 1% 0% 59
9 Computer Science, Software Engineering 0 1% 0% 52
10 Physics, Mathematical -0 1% 0% 71

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 MATH 123149 42% 1% 4096
2 FAK ALLGEMEINWISSEN 33034 0% 81% 13
3 HBEREICH MATH STAT 32066 0% 24% 43
4 FAK NARAVOSLOVJE MATEMAT 31089 0% 76% 13
5 KATEDRA ZASTOSOWAN MATEMAT 28152 0% 100% 9
6 ST PETERSBURG BRANCH POMI 25024 0% 100% 8
7 MATEMAT LICADA ANAL 24164 1% 13% 60
8 ANAL MATEMAT 22902 1% 5% 139
9 MATH LENS EA 2462 19143 0% 44% 14
10 UPORABNO MATEMAT 18768 0% 100% 6

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 INTEGRAL EQUATIONS AND OPERATOR THEORY 903021 8% 36% 803
2 JOURNAL OF OPERATOR THEORY 269498 3% 26% 332
3 COMPLEX ANALYSIS AND OPERATOR THEORY 158328 2% 29% 176
4 JOURNAL OF FUNCTIONAL ANALYSIS 124376 5% 8% 509
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 101621 8% 4% 740
6 STUDIA MATHEMATICA 57251 2% 8% 232
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 53968 6% 3% 606
8 OPERATORS AND MATRICES 48769 1% 18% 86
9 MICHIGAN MATHEMATICAL JOURNAL 44535 1% 10% 144
10 INDIANA UNIVERSITY MATHEMATICS JOURNAL 44232 2% 8% 184

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 COMPOSITION OPERATOR 1136582 5% 77% 472 Search COMPOSITION+OPERATOR Search COMPOSITION+OPERATOR
2 TOEPLITZ OPERATOR 923498 4% 71% 416 Search TOEPLITZ+OPERATOR Search TOEPLITZ+OPERATOR
3 BERGMAN SPACE 843239 4% 78% 346 Search BERGMAN+SPACE Search BERGMAN+SPACE
4 WEIGHTED COMPOSITION OPERATOR 498397 2% 80% 200 Search WEIGHTED+COMPOSITION+OPERATOR Search WEIGHTED+COMPOSITION+OPERATOR
5 BLOCH SPACE 472173 2% 93% 163 Search BLOCH+SPACE Search BLOCH+SPACE
6 BLOCH TYPE SPACE 378482 1% 100% 121 Search BLOCH+TYPE+SPACE Search BLOCH+TYPE+SPACE
7 WEIGHTED BERGMAN SPACE 377683 1% 87% 139 Search WEIGHTED+BERGMAN+SPACE Search WEIGHTED+BERGMAN+SPACE
8 ESSENTIAL NORM 342892 1% 89% 123 Search ESSENTIAL+NORM Search ESSENTIAL+NORM
9 HARDY SPACE 339538 3% 33% 331 Search HARDY+SPACE Search HARDY+SPACE
10 CARLESON MEASURE 287765 2% 62% 148 Search CARLESON+MEASURE Search CARLESON+MEASURE

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BAI, HB , JIANG, ZJ , (2016) GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM ZYGMUND SPACES TO BLOCH-ORLICZ TYPE SPACES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 273. ISSUE . P. 89 -97 66 100% 0
2 SEHBA, B , STEVIC, S , (2014) ON SOME PRODUCT-TYPE OPERATORS FROM HARDY-ORLICZ AND BERGMAN-ORLICZ SPACES TO WEIGHTED-TYPE SPACES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 233. ISSUE . P. 565 -581 63 98% 10
3 LI, HY , GUO, ZT , (2015) ON A PRODUCT-TYPE OPERATOR FROM ZYGMUND-TYPE SPACES TO BLOCH-ORLICZ SPACES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 53 100% 7
4 ZHANG, F , LIU, YM , (2016) ON THE COMPACTNESS OF THE STEVIC-SHARMA OPERATOR ON THE LOGARITHMIC BLOCH SPACES.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 19. ISSUE 2. P. 625 -642 56 100% 0
5 JIANG, ZJ , (2015) GENERALIZED PRODUCT-TYPE OPERATORS FROM WEIGHTED BERGMAN-ORLICZ SPACES TO BLOCH-ORLICZ SPACES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 268. ISSUE . P. 966 -977 58 98% 0
6 LIU, YM , YU, YY , (2013) RIEMANN-STIELTJES OPERATOR FROM MIXED NORM SPACES TO ZYGMUND-TYPE SPACES ON THE UNIT BALL.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 17. ISSUE 5. P. 1751 -1764 57 100% 1
7 YANG, Y , JIANG, ZJ , (2017) PRODUCT-TYPE OPERATORS FROM WEIGHTED ZYGMUND SPACES TO BLOCH-ORLICZ SPACES.JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. VOL. 23. ISSUE 1. P. 132 -151 52 98% 0
8 BAI, HB , JIANG, ZJ , (2016) PRODUCT-TYPE OPERATORS FROM WEIGHTED BERGMAN-ORLICZ SPACES TO BLOCH-ORLICZ SPACES.JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. VOL. 21. ISSUE 7. P. 1147 -1159 51 100% 0
9 GUO, J , LIU, YM , (2016) GENERALIZED INTEGRATION OPERATORS FROM MIXED-NORM TO ZYGMUND-TYPE SPACES.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 39. ISSUE 3. P. 1043 -1057 51 100% 0
10 LIU, YM , YU, YY , (2015) ON A STEVIC-SHARMA OPERATOR FROM HARDY SPACES TO THE LOGARITHMIC BLOCH SPACES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 51 100% 1

Classes with closest relation at Level 2


Rank Class id link
1 2872 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
2 1570 PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD
3 631 C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY
4 3975 LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS//MOMENT PROBLEM
5 2311 UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS
6 943 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE
7 1493 MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE
8 3429 QUADRATIC DIFFERENTIAL FORMS//BEHAVIORAL APPROACH//MULTIDIMENSIONAL SYSTEMS
9 4023 SUBNORMS//HYPERGROUPS//CONVENIENT SETTING
10 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS

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