Class information for:
Level 1: METRIC SEMIGROUP//NEMYTSKII SUPERPOSITION OPERATOR//GENERALIZED BOUNDED VARIATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25111 291 14.5 22%


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
25111 1                   METRIC SEMIGROUP//NEMYTSKII SUPERPOSITION OPERATOR//GENERALIZED BOUNDED VARIATION 291

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 METRIC SEMIGROUP authKW 746182 3% 89% 8
2 NEMYTSKII SUPERPOSITION OPERATOR authKW 734525 2% 100% 7
3 GENERALIZED BOUNDED VARIATION authKW 653802 3% 69% 9
4 UNIFORMLY BOUNDED OPERATOR authKW 629593 2% 100% 6
5 UNIFORMLY CONTINUOUS OPERATOR authKW 629593 2% 100% 6
6 LAMBDA VARIATION authKW 524661 2% 100% 5
7 LIPSCHITZIAN OPERATOR authKW 524661 2% 100% 5
8 NONAUTONOMOUS SUPERPOSITION OPERATOR authKW 524661 2% 100% 5
9 VARIATION IN THE SENSE OF JORDAN authKW 524661 2% 100% 5
10 VOLTERRA HAMMERSTEIN INTEGRAL EQUATION authKW 472191 2% 75% 6

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 15278 97% 0% 283
2 Mathematics, Applied 3228 42% 0% 122
3 Statistics & Probability 3 1% 0% 4
4 Multidisciplinary Sciences 2 1% 0% 2
5 Operations Research & Management Science -0 0% 0% 1
6 Computer Science, Software Engineering -0 0% 0% 1
7 Mechanics -1 1% 0% 2
8 Computer Science, Interdisciplinary Applications -1 0% 0% 1
9 Computer Science, Theory & Methods -1 0% 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 OPTIMIZAT CONTROL THEORY 222201 2% 35% 6
2 LOCAL LARA 104932 0% 100% 1
3 MATH COMP SCI ECONOMETRY 69952 1% 33% 2
4 CHAIR THEORY FUNCT FUNCT ANAL 52465 0% 50% 1
5 ESCUELA MATEMAT 47004 4% 4% 11
6 MATH COMP SCI ECONOMETR 24690 3% 3% 9
7 DPTO MATEMAT FIS 20985 0% 20% 1
8 MATH D 17487 0% 17% 1
9 BCMIIS 14470 1% 7% 2
10 NIZHNII NOVGOROD BRANCH 13115 0% 13% 1

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 ANALYSIS MATHEMATICA 18335 2% 3% 5
2 JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 11969 2% 2% 5
3 ACTA MATHEMATICA HUNGARICA 11493 6% 1% 18
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 9664 15% 0% 44
5 JOURNAL OF FUNCTION SPACES 6769 2% 1% 5
6 MATHEMATICAL INEQUALITIES & APPLICATIONS 4767 3% 1% 8
7 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 3589 2% 1% 5
8 GEORGIAN MATHEMATICAL JOURNAL 3572 1% 1% 4
9 MATHEMATICAL NOTES 3544 4% 0% 13
10 JOURNAL OF FUNCTION SPACES AND APPLICATIONS 2596 1% 1% 3

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 METRIC SEMIGROUP 746182 3% 89% 8 Search METRIC+SEMIGROUP Search METRIC+SEMIGROUP
2 NEMYTSKII SUPERPOSITION OPERATOR 734525 2% 100% 7 Search NEMYTSKII+SUPERPOSITION+OPERATOR Search NEMYTSKII+SUPERPOSITION+OPERATOR
3 GENERALIZED BOUNDED VARIATION 653802 3% 69% 9 Search GENERALIZED+BOUNDED+VARIATION Search GENERALIZED+BOUNDED+VARIATION
4 UNIFORMLY BOUNDED OPERATOR 629593 2% 100% 6 Search UNIFORMLY+BOUNDED+OPERATOR Search UNIFORMLY+BOUNDED+OPERATOR
5 UNIFORMLY CONTINUOUS OPERATOR 629593 2% 100% 6 Search UNIFORMLY+CONTINUOUS+OPERATOR Search UNIFORMLY+CONTINUOUS+OPERATOR
6 LAMBDA VARIATION 524661 2% 100% 5 Search LAMBDA+VARIATION Search LAMBDA+VARIATION
7 LIPSCHITZIAN OPERATOR 524661 2% 100% 5 Search LIPSCHITZIAN+OPERATOR Search LIPSCHITZIAN+OPERATOR
8 NONAUTONOMOUS SUPERPOSITION OPERATOR 524661 2% 100% 5 Search NONAUTONOMOUS+SUPERPOSITION+OPERATOR Search NONAUTONOMOUS+SUPERPOSITION+OPERATOR
9 VARIATION IN THE SENSE OF JORDAN 524661 2% 100% 5 Search VARIATION+IN+THE+SENSE+OF+JORDAN Search VARIATION+IN+THE+SENSE+OF+JORDAN
10 VOLTERRA HAMMERSTEIN INTEGRAL EQUATION 472191 2% 75% 6 Search VOLTERRA+HAMMERSTEIN+INTEGRAL+EQUATION Search VOLTERRA+HAMMERSTEIN+INTEGRAL+EQUATION

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 ARMAO, F , GLAZOWSKA, D , RIVAS, S , ROJAS, J , (2013) UNIFORMLY BOUNDED COMPOSITION OPERATORS IN THE BANACH SPACE OF BOUNDED (P, K)-VARIATION IN THE SENSE OF RIESZ-POPOVICIU.CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. VOL. 11. ISSUE 2. P. 357-367 17 100% 0
2 WU, X , (2016) EMBEDDING OF CLASSES OF FUNCTIONS WITH BOUNDED -VARIATION INTO GENERALIZED LIPSCHITZ SPACES.ACTA MATHEMATICA HUNGARICA. VOL. 150. ISSUE 1. P. 247 -257 12 100% 1
3 GOODARZI, MM , HORMOZI, M , MEMIC, N , (2017) RELATIONS BETWEEN SCHRAMM SPACES AND GENERALIZED WIENER CLASSES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 450. ISSUE 1. P. 829 -838 11 100% 0
4 WROBEL, M , (2012) UNIFORMLY BOUNDED NEMYTSKIJ OPERATORS BETWEEN THE BANACH SPACES OF FUNCTIONS OF BOUNDED N-TH VARIATION.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 391. ISSUE 2. P. 451-456 11 100% 1
5 CHISTYAKOV, VV , (2010) MODULAR METRIC SPACES, II: APPLICATION TO SUPERPOSITION OPERATORS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 72. ISSUE 1. P. 15-30 14 74% 17
6 GLAZOWSKA, D , MATKOWSKI, J , (2015) UNIFORMLY BOUNDED COMPOSITION OPERATORS.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 92. ISSUE 3. P. 463 -469 9 100% 0
7 CHISTYAKOV, VV , TRETYACHENKO, YV , (2010) MAPS OF SEVERAL VARIABLES OF FINITE TOTAL VARIATION. I. MIXED DIFFERENCES AND THE TOTAL VARIATION.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 370. ISSUE 2. P. 672-686 11 92% 0
8 WANG, HP , (2016) EMBEDDING OF GENERALIZED LIPSCHITZ CLASSES INTO CLASSES OF FUNCTIONS WITH LAMBDA-BOUNDED VARIATION.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 438. ISSUE 2. P. 657 -667 9 90% 1
9 WANG, HP , (2015) EMBEDDING OF CLASSES OF FUNCTIONS WITH LAMBDA(PHI)-BOUNDED VARIATION INTO GENERALIZED LIPSCHITZ CLASSES.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 18. ISSUE 4. P. 1463 -1471 8 100% 2
10 APPELL, J , BENAVIDES, TD , (2016) NONLINEAR HAMMERSTEIN EQUATIONS AND FUNCTIONS OF BOUNDED RIESZ MEDVEDEV VARIATION.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. VOL. 47. ISSUE 1. P. 319 -332 8 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 17835 MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM
2 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR
3 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY
4 28059 NONZERO SOLUTION//MULTIPARAMETER VARIATIONAL INEQUALITY//FIXED POINT INDEX OF MULTIVALUED MAPPINGS
5 29941 PINSKY PHENOMENON//SPHERICAL PARTIAL SUM//FAK 1
6 17204 HENSTOCK KURZWEIL INTEGRAL//MCSHANE INTEGRAL//KURZWEIL HENSTOCK INTEGRAL
7 17336 GIBBS PHENOMENON//PROLATE SPHEROIDAL WAVE FUNCTIONS//GEGENBAUER RECONSTRUCTION
8 18645 MEAN VALUE BOUNDED VARIATION//EMBEDDING RELATIONS//HOLDER METRIC
9 12387 FRAGMENTABILITY//RENORMING//PROJECTIONAL SKELETON
10 7274 Q INTEGERS//MODULUS OF CONTINUITY//POSITIVE LINEAR OPERATORS

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