Class information for:
Level 1: TOEPLITZ OPERATOR//BEREZIN TRANSFORM//BERGMAN SPACE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14828 748 14.1 45%


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
14828 1                   TOEPLITZ OPERATOR//BEREZIN TRANSFORM//BERGMAN SPACE 748

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 TOEPLITZ OPERATOR authKW 3814072 31% 40% 234
2 BEREZIN TRANSFORM authKW 1210581 7% 54% 55
3 BERGMAN SPACE authKW 1132624 15% 25% 111
4 BEREZIN SYMBOL authKW 720081 3% 84% 21
5 HARMONIC BERGMAN SPACE authKW 692384 3% 81% 21
6 HANKEL OPERATOR authKW 594638 6% 32% 45
7 PARABOLIC OPERATOR OF FRACTIONAL ORDER authKW 530677 2% 100% 13
8 DUAL TOEPLITZ OPERATOR authKW 449034 1% 100% 11
9 BERGMAN PROJECTION authKW 293880 3% 30% 24
10 QUASIHOMOGENEOUS SYMBOLS authKW 290283 1% 89% 8

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 39333 97% 0% 728
2 Mathematics, Applied 3845 29% 0% 217
3 Multidisciplinary Sciences 2 1% 0% 4
4 Physics, Mathematical 0 1% 0% 7
5 Computer Science, Cybernetics 0 0% 0% 1
6 Statistics & Probability -0 1% 0% 4
7 Physics, Multidisciplinary -9 0% 0% 3

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 ISPARTA VOCAT 142868 1% 50% 7
2 ISPARTA MYO VOCAT 122464 0% 100% 3
3 KING JEONGJO LIBERAL ARTS 81643 0% 100% 2
4 DZORZA VASINGTONA BB 40821 0% 100% 1
5 GUANGDONG HIGHTER EDUC 40821 0% 100% 1
6 HYDROACOUST BRANCH 40821 0% 100% 1
7 I2MCMIUMR CNRS 7373 40821 0% 100% 1
8 MATH INFORMAT SCI MATH INTERDIS 40821 0% 100% 1
9 NONLINEAR CONTROLS ROBOT NCR 40821 0% 100% 1
10 MATH SCI BK21 36735 0% 30% 3

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 254548 16% 5% 118
2 COMPLEX ANALYSIS AND OPERATOR THEORY 45114 3% 4% 26
3 JOURNAL OF FUNCTIONAL ANALYSIS 27366 9% 1% 66
4 JOURNAL OF OPERATOR THEORY 12747 3% 2% 20
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 6253 8% 0% 57
6 ACTA MATHEMATICA SINICA-ENGLISH SERIES 6186 3% 1% 20
7 STUDIA MATHEMATICA 6126 3% 1% 21
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 5562 6% 0% 48
9 BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 4260 1% 2% 5
10 NEW YORK JOURNAL OF MATHEMATICS 4059 1% 2% 6

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 TOEPLITZ OPERATOR 3814072 31% 40% 234 Search TOEPLITZ+OPERATOR Search TOEPLITZ+OPERATOR
2 BEREZIN TRANSFORM 1210581 7% 54% 55 Search BEREZIN+TRANSFORM Search BEREZIN+TRANSFORM
3 BERGMAN SPACE 1132624 15% 25% 111 Search BERGMAN+SPACE Search BERGMAN+SPACE
4 BEREZIN SYMBOL 720081 3% 84% 21 Search BEREZIN+SYMBOL Search BEREZIN+SYMBOL
5 HARMONIC BERGMAN SPACE 692384 3% 81% 21 Search HARMONIC+BERGMAN+SPACE Search HARMONIC+BERGMAN+SPACE
6 HANKEL OPERATOR 594638 6% 32% 45 Search HANKEL+OPERATOR Search HANKEL+OPERATOR
7 PARABOLIC OPERATOR OF FRACTIONAL ORDER 530677 2% 100% 13 Search PARABOLIC+OPERATOR+OF+FRACTIONAL+ORDER Search PARABOLIC+OPERATOR+OF+FRACTIONAL+ORDER
8 DUAL TOEPLITZ OPERATOR 449034 1% 100% 11 Search DUAL+TOEPLITZ+OPERATOR Search DUAL+TOEPLITZ+OPERATOR
9 BERGMAN PROJECTION 293880 3% 30% 24 Search BERGMAN+PROJECTION Search BERGMAN+PROJECTION
10 QUASIHOMOGENEOUS SYMBOLS 290283 1% 89% 8 Search QUASIHOMOGENEOUS+SYMBOLS Search QUASIHOMOGENEOUS+SYMBOLS

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 YANG, JY , HU, YY , LU, YF , YU, T , (2016) COMMUTING DUAL TOEPLITZ OPERATORS ON THE HARMONIC DIRICHLET SPACE.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 32. ISSUE 9. P. 1099 -1105 27 100% 0
2 GUAN, HY , LIU, L , LU, YF , (2013) ALGEBRAIC PROPERTIES OF QUASIHOMOGENEOUS AND SEPARATELY QUASIHOMOGENEOUS TOEPLITZ OPERATORS ON THE PLURIHARMONIC BERGMAN SPACE.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 27 100% 0
3 YANG, JY , LIU, L , LU, YF , (2013) ALGEBRAIC PROPERTIES OF TOEPLITZ OPERATORS ON THE PLURIHARMONIC BERGMAN SPACE.JOURNAL OF FUNCTION SPACES AND APPLICATIONS. VOL. . ISSUE . P. - 25 100% 1
4 HU, YY , LU, YF , YU, T , (2016) PROPERTIES OF COMMUTATIVITY OF DUAL TOEPLITZ OPERATORS ON THE ORTHOGONAL COMPLEMENT OF PLURIHARMONIC DIRICHLET SPACE OVER THE BALL.JOURNAL OF FUNCTION SPACES. VOL. . ISSUE . P. - 23 100% 0
5 BAUER, W , KOO, H , CHOE, BR , (2015) COMMUTING TOEPLITZ OPERATORS WITH PLURIHARMONIC SYMBOLS ON THE FOCK SPACE.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 268. ISSUE 10. P. 3017 -3060 18 100% 0
6 XIA, J , WANG, XF , CAO, GF , (2014) TOEPLITZ OPERATORS ON DIRICHLET-TYPE SPACE OF UNIT BALL.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 19 95% 0
7 YANG, JY , LU, YF , (2015) COMMUTING DUAL TOEPLITZ OPERATORS ON THE HARMONIC BERGMAN SPACE.SCIENCE CHINA-MATHEMATICS. VOL. 58. ISSUE 7. P. 1461 -1472 17 100% 2
8 KONG, LH , LU, YF , (2015) COMMUTING TOEPLITZ OPERATORS ON THE HARDY SPACE OF THE POLYDISK.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 31. ISSUE 4. P. 695 -702 17 100% 0
9 CHOE, BR , KOO, H , LEE, YJ , (2009) FINITE SUMS OF TOEPLITZ PRODUCTS ON THE POLYDISK.POTENTIAL ANALYSIS. VOL. 31. ISSUE 3. P. 227 -255 20 95% 3
10 DONG, XT , LIU, CW , ZHOU, ZH , (2014) QUASIHOMOGENEOUS TOEPLITZ OPERATORS WITH INTEGRABLE SYMBOLS ON THE HARMONIC BERGMAN SPACE.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 90. ISSUE 3. P. 494 -503 17 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 1527 COMPOSITION OPERATOR//WEIGHTED COMPOSITION OPERATOR//BLOCH SPACE
2 30501 INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL
3 30061 2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS
4 17665 CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//FAK ALLGEMEINWISSEN
5 4303 ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY
6 35117 NORMAL J ALGEBRA//HOMOGENEOUS SIEGEL DOMAIN//MINIMAL DOMAIN
7 5371 BERGMAN KERNEL//PSEUDOCONVEX DOMAIN//PARTIAL DERIVATIVE NEUMANN PROBLEM
8 25790 WEIGHTED SHIFT ON A DIRECTED TREE//SUBNORMAL OPERATOR//KATEDRA ZASTOSOWAN MATEMAT
9 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
10 30626 BOUNDARY TRANSMISSION PROBLEMS//PSEUDODIFFERENTIAL EQUATIONS//ANISOTROPIC WEIGHTED BESSEL POTENTIAL SPACES

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