Class information for:
Level 1: PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26692 248 18.7 26%


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
26692 1                   PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY 248

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 PROJET ANAL FONCTIONNELLE address 369379 1% 100% 3
2 FUNCTIONS OF BOUNDED P VARIATION authKW 281428 2% 57% 4
3 FACTORISATION INEQUALITY authKW 246253 1% 100% 2
4 LAFGE address 246253 1% 100% 2
5 MUMFORD PROCESS authKW 246253 1% 100% 2
6 PEETRES EMBEDDING THEOREM authKW 246253 1% 100% 2
7 LIZORKIN TRIEBEL SPACES authKW 218887 2% 44% 4
8 ANISOTROPIC FUNCTION SPACES authKW 196997 2% 40% 4
9 ANISOTROPIC BESOV SPACES authKW 192378 2% 31% 5
10 SUPERPOSITION OPERATORS authKW 184680 2% 25% 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 11820 93% 0% 230
2 Mathematics, Applied 1945 35% 0% 88
3 Multidisciplinary Sciences 2 1% 0% 2
4 Physics, Mathematical 2 2% 0% 4
5 Mathematics, Interdisciplinary Applications -0 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 PROJET ANAL FONCTIONNELLE 369379 1% 100% 3
2 LAFGE 246253 1% 100% 2
3 EUIPE ANAL MATH PL 123126 0% 100% 1
4 IMJ PRG UMR 7586 123126 0% 100% 1
5 MECH EQUAT 123126 0% 100% 1
6 MEKHMAT FAK 123126 0% 100% 1
7 PROJECT ANALYSE FONCTIONNELLE 123126 0% 100% 1
8 PROJET ANAL FONCT 58318 1% 16% 3
9 CIENCIAS C 15 41041 0% 33% 1
10 EPFL STI IMT LIB 41041 0% 33% 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 MATHEMATISCHE NACHRICHTEN 39852 15% 1% 36
2 FORUM MATHEMATICUM 7829 4% 1% 9
3 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 7312 5% 0% 12
4 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 6376 2% 1% 5
5 REVISTA MATEMATICA IBEROAMERICANA 5844 2% 1% 6
6 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 3174 1% 1% 2
7 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 2694 2% 1% 4
8 STUDIA MATHEMATICA 2684 3% 0% 8
9 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 1711 5% 0% 13
10 ARKIV FOR MATEMATIK 1462 1% 0% 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 FUNCTIONS OF BOUNDED P VARIATION 281428 2% 57% 4 Search FUNCTIONS+OF+BOUNDED+P+VARIATION Search FUNCTIONS+OF+BOUNDED+P+VARIATION
2 FACTORISATION INEQUALITY 246253 1% 100% 2 Search FACTORISATION+INEQUALITY Search FACTORISATION+INEQUALITY
3 MUMFORD PROCESS 246253 1% 100% 2 Search MUMFORD+PROCESS Search MUMFORD+PROCESS
4 PEETRES EMBEDDING THEOREM 246253 1% 100% 2 Search PEETRES+EMBEDDING+THEOREM Search PEETRES+EMBEDDING+THEOREM
5 LIZORKIN TRIEBEL SPACES 218887 2% 44% 4 Search LIZORKIN+TRIEBEL+SPACES Search LIZORKIN+TRIEBEL+SPACES
6 ANISOTROPIC FUNCTION SPACES 196997 2% 40% 4 Search ANISOTROPIC+FUNCTION+SPACES Search ANISOTROPIC+FUNCTION+SPACES
7 ANISOTROPIC BESOV SPACES 192378 2% 31% 5 Search ANISOTROPIC+BESOV+SPACES Search ANISOTROPIC+BESOV+SPACES
8 SUPERPOSITION OPERATORS 184680 2% 25% 6 Search SUPERPOSITION+OPERATORS Search SUPERPOSITION+OPERATORS
9 ANISOTROPIC FUNCTION SPACE 164167 1% 67% 2 Search ANISOTROPIC+FUNCTION+SPACE Search ANISOTROPIC+FUNCTION+SPACE
10 HIGHER ORDER CHAIN RULE 164167 1% 67% 2 Search HIGHER+ORDER+CHAIN+RULE Search HIGHER+ORDER+CHAIN+RULE

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 BOURDAUD, G , MOUSSAI, M , SICKEL, W , (2010) COMPOSITION OPERATORS ON LIZORKIN-TRIEBEL SPACES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 259. ISSUE 5. P. 1098 -1128 16 94% 0
2 MOUSSAI, M , (2011) THE COMPOSITION IN MULTIDIMENSIONAL TRIEBEL-LIZORKIN SPACES.MATHEMATISCHE NACHRICHTEN. VOL. 284. ISSUE 2-3. P. 317-331 13 100% 0
3 BOURDAUD, G , MOUSSAI, M , SICKEL, W , (2014) COMPOSITION OPERATORS ACTING ON BESOV SPACES ON THE REAL LINE.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 193. ISSUE 5. P. 1519 -1554 12 92% 0
4 APPELL, J , ZABREJKO, PP , (2010) REMARKS ON THE SUPERPOSITION OPERATOR PROBLEM IN VARIOUS FUNCTION SPACES.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 55. ISSUE 8-10. P. 727-737 13 87% 1
5 SICKEL, W , (1998) CONDITIONS ON COMPOSITION OPERATORS WHICH MAP A SPACE OF TRIEBEL-LIZORKIN TYPE INTO A SOBOLEV SPACE. THE CASE 1 < S < N/P. II.FORUM MATHEMATICUM. VOL. 10. ISSUE 2. P. 199 -231 14 100% 2
6 CHURCH, PT , TIMOURIAN, JG , (2002) LOCAL ALGEBRAS OF DIFFERENTIAL OPERATORS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 181. ISSUE 2. P. 463 -510 12 100% 0
7 MOUSSAI, M , (2015) REALIZATIONS OF HOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES AND AN APPLICATION TO POINTWISE MULTIPLIERS.ANALYSIS AND APPLICATIONS. VOL. 13. ISSUE 2. P. - 9 90% 0
8 JOHNSEN, J , (2013) L-P-THEORY OF TYPE 1, 1-OPERATORS.MATHEMATISCHE NACHRICHTEN. VOL. 286. ISSUE 7. P. 712-729 10 83% 0
9 BOURDAUD, G , MOUSSAI, M , SICKEL, W , (2008) TOWARDS SHARP SUPERPOSITION THEOREMS IN BESOV AND LIZORKIN-TRIEBEL SPACES.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 68. ISSUE 10. P. 2889-2912 9 100% 1
10 MOUSSAI, M , (2012) COMPOSITION OPERATORS ON BESOV ALGEBRAS.REVISTA MATEMATICA IBEROAMERICANA. VOL. 28. ISSUE 1. P. 239 -272 8 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 19898 ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS
2 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
3 26396 POSITIVE DEFINITE KERNELS//MERCERS THEOREM//FOURIER INVERSION FORMULA
4 30626 BOUNDARY TRANSMISSION PROBLEMS//PSEUDODIFFERENTIAL EQUATIONS//ANISOTROPIC WEIGHTED BESSEL POTENTIAL SPACES
5 8015 ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR
6 28514 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS
7 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
8 20588 QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION
9 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
10 25111 METRIC SEMIGROUP//NEMYTSKII SUPERPOSITION OPERATOR//GENERALIZED BOUNDED VARIATION

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