Class information for:
Level 1: WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
29344 188 14.7 31%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
842 2             MATHEMATICS//MAXIMAL OPERATOR//BMO 11754
29344 1                   WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR 188

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 WELL BOUNDED OPERATORS authKW 1039501 4% 80% 8
2 AC OPERATORS authKW 974536 3% 100% 6
3 TRIGONOMETRICALLY WELL BOUNDED OPERATOR authKW 974536 3% 100% 6
4 Q VARIATION authKW 519751 2% 80% 4
5 MODULUS MEAN BOUNDED OPERATOR authKW 487268 2% 100% 3
6 AP WEIGHT SEQUENCE authKW 324845 1% 100% 2
7 SPECIAL ATOM authKW 324845 1% 100% 2
8 WEAK TYPE MULTIPLIERS authKW 324845 1% 100% 2
9 SPECTRAL FAMILY authKW 216562 1% 67% 2
10 SUPER REFLEXIVE BANACH SPACE authKW 216562 1% 67% 2

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 8510 90% 0% 170
2 Mathematics, Applied 195 14% 0% 26
3 Statistics & Probability 58 5% 0% 9
4 Materials Science, Biomaterials 12 2% 0% 3
5 Automation & Control Systems 0 1% 0% 1
6 Mathematics, Interdisciplinary Applications 0 1% 0% 1
7 Astronomy & Astrophysics -0 2% 0% 3
8 Engineering, General -0 1% 0% 1
9 Physics, Mathematical -0 1% 0% 1
10 Engineering, Electrical & Electronic -4 1% 0% 1

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 DST NRF COE MATH STAT SCI 162423 1% 100% 1
2 MATEMAT LICADA ANAL 12590 3% 1% 6
3 MATEMAT LICADA TELEMAT 6982 1% 2% 2
4 UNIT BMI 5599 1% 3% 1
5 COMP STAT MATH SCI 3960 1% 2% 1
6 HIGH TECHNOL HUMAN WELF 3032 1% 1% 2
7 PL MATH 4 2618 1% 2% 1
8 EQUIPE MATH 1823 1% 1% 1
9 MOSCOW STATE ELECT MATH 1823 1% 1% 1
10 MATEMAT LICADA 4 1757 1% 1% 2

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 ANNALES DE LA SOCIETE SCIENTIFIQUE DE BRUXELLES SERIES 1-SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES 31097 2% 6% 3
2 STUDIA MATHEMATICA 26888 12% 1% 22
3 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 8514 5% 1% 9
4 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 2538 3% 0% 6
5 JOURNAL OF OPERATOR THEORY 2027 2% 0% 4
6 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 1907 5% 0% 10
7 INTEGRAL EQUATIONS AND OPERATOR THEORY 1810 3% 0% 5
8 NEW YORK JOURNAL OF MATHEMATICS 1796 1% 1% 2
9 GLASGOW MATHEMATICAL JOURNAL 1772 2% 0% 4
10 PACIFIC JOURNAL OF MATHEMATICS 1733 4% 0% 7

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 WELL BOUNDED OPERATORS 1039501 4% 80% 8 Search WELL+BOUNDED+OPERATORS Search WELL+BOUNDED+OPERATORS
2 AC OPERATORS 974536 3% 100% 6 Search AC+OPERATORS Search AC+OPERATORS
3 TRIGONOMETRICALLY WELL BOUNDED OPERATOR 974536 3% 100% 6 Search TRIGONOMETRICALLY+WELL+BOUNDED+OPERATOR Search TRIGONOMETRICALLY+WELL+BOUNDED+OPERATOR
4 Q VARIATION 519751 2% 80% 4 Search Q+VARIATION Search Q+VARIATION
5 MODULUS MEAN BOUNDED OPERATOR 487268 2% 100% 3 Search MODULUS+MEAN+BOUNDED+OPERATOR Search MODULUS+MEAN+BOUNDED+OPERATOR
6 AP WEIGHT SEQUENCE 324845 1% 100% 2 Search AP+WEIGHT+SEQUENCE Search AP+WEIGHT+SEQUENCE
7 SPECIAL ATOM 324845 1% 100% 2 Search SPECIAL+ATOM Search SPECIAL+ATOM
8 WEAK TYPE MULTIPLIERS 324845 1% 100% 2 Search WEAK+TYPE+MULTIPLIERS Search WEAK+TYPE+MULTIPLIERS
9 SPECTRAL FAMILY 216562 1% 67% 2 Search SPECTRAL+FAMILY Search SPECTRAL+FAMILY
10 SUPER REFLEXIVE BANACH SPACE 216562 1% 67% 2 Search SUPER+REFLEXIVE+BANACH+SPACE Search SUPER+REFLEXIVE+BANACH+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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BERKSON, E , (2011) ROTATION METHODS IN OPERATOR ERGODIC THEORY.NEW YORK JOURNAL OF MATHEMATICS. VOL. 17. ISSUE . P. 21 -39 13 87% 0
2 BERKSON, E , (2010) SPECTRAL THEORY AND OPERATOR ERGODIC THEORY ON SUPER-REFLEXIVE BANACH SPACES.STUDIA MATHEMATICA. VOL. 200. ISSUE 3. P. 221-246 16 70% 0
3 BERKSON, E , (2014) MARCINKIEWICZ MULTIPLIERS OF HIGHER VARIATION AND SUMMABILITY OF OPERATOR-VALUED FOURIER SERIES.STUDIA MATHEMATICA. VOL. 222. ISSUE 2. P. 123 -155 12 80% 1
4 BERKSON, E , GILLESPIE, TA , (2005) AN M-Q(T)-FUNCTIONAL CALCULUS FOR POWER-BOUNDED OPERATORS ON CERTAIN UMD SPACES.STUDIA MATHEMATICA. VOL. 167. ISSUE 3. P. 245-257 14 82% 4
5 BERKSON, E , GILLESPIE, TA , (2004) OPERATOR MEANS AND SPECTRAL INTEGRATION OF FOURIER MULTIPLIERS.HOUSTON JOURNAL OF MATHEMATICS. VOL. 30. ISSUE 3. P. 767-814 14 82% 5
6 BERKSON, E , (2010) FOURIER ANALYSIS METHODS IN OPERATOR ERGODIC THEORY ON SUPER-REFLEXIVE BANACH SPACES.ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES. VOL. 17. ISSUE . P. 90-103 12 75% 0
7 BERKSON, E , (2011) OPERATOR ERGODIC THEORY FOR ONE-PARAMETER DECOMPOSABLE GROUPS.BULLETIN DES SCIENCES MATHEMATIQUES. VOL. 135. ISSUE 5. P. 488-516 11 79% 0
8 BERKSON, E , GILLESPIE, TA , (2004) THE Q-VARIATION OF FUNCTIONS AND SPECTRAL INTEGRATION FROM DOMINATED ERGODIC ESTIMATES.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 10. ISSUE 2. P. 149-177 11 85% 5
9 ASHTON, B , DOUST, I , (2011) AC(SIGMA) OPERATORS.JOURNAL OF OPERATOR THEORY. VOL. 65. ISSUE 2. P. 255-279 9 82% 0
10 ASHTON, B , DOUST, I , (2009) COMPACT AC(SIGMA) OPERATORS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 63. ISSUE 4. P. 459-472 7 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 14340 MAXIMAL REGULARITY//DIFFERENTIAL OPERATOR EQUATIONS//OPERATOR VALUED FOURIER MULTIPLIERS
2 17473 BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE
3 22037 VECTOR MEASURE//BANACH FUNCTION SPACE//MATH GEOGR FAK
4 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
5 17835 MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM
6 13147 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
7 19024 MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY
8 25111 METRIC SEMIGROUP//NEMYTSKII SUPERPOSITION OPERATOR//GENERALIZED BOUNDED VARIATION
9 8015 ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR
10 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY

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