Class information for:
Level 1: PROJET ANAL FONCTIONNELLE//LIZORKIN TRIEBEL SPACES//HOMOGENEOUS BESOV SPACES

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
521 2             MATHEMATICS//BMO//COMMUTATOR 15503
28536 1                   PROJET ANAL FONCTIONNELLE//LIZORKIN TRIEBEL SPACES//HOMOGENEOUS BESOV SPACES 223

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PROJET ANAL FONCTIONNELLE address 423993 1% 100% 3
2 LIZORKIN TRIEBEL SPACES authKW 392582 2% 56% 5
3 HOMOGENEOUS BESOV SPACES authKW 376880 2% 67% 4
4 FUNCTIONS OF BOUNDED P VARIATION authKW 323039 2% 57% 4
5 FACTORISATION INEQUALITY authKW 282662 1% 100% 2
6 LAFGE address 282662 1% 100% 2
7 MUMFORD PROCESS authKW 282662 1% 100% 2
8 PEETRES EMBEDDING THEOREM authKW 282662 1% 100% 2
9 HIGHER ORDER CHAIN RULE authKW 188440 1% 67% 2
10 SUPERPOSITION OPERATORS authKW 188432 3% 22% 6

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 10909 94% 0% 210
2 Mathematics, Applied 1834 36% 0% 81
3 Multidisciplinary Sciences 3 1% 0% 2
4 Physics, Mathematical 0 1% 0% 2
5 Mathematics, Interdisciplinary Applications -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PROJET ANAL FONCTIONNELLE 423993 1% 100% 3
2 LAFGE 282662 1% 100% 2
3 EUIPE ANAL MATH PL 141331 0% 100% 1
4 FUNCT ANAL GEOM SPACES 141331 0% 100% 1
5 IMJ PRG UMR 7586 141331 0% 100% 1
6 MECH EQUAT 141331 0% 100% 1
7 MEKHMAT FAK 141331 0% 100% 1
8 O FUNCT ANAL GEOM SPACES 141331 0% 100% 1
9 PROJECT ANALYSE FONCTIONNELLE 141331 0% 100% 1
10 PROJET ANAL FONCT 66941 1% 16% 3

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATISCHE NACHRICHTEN 26806 13% 1% 28
2 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 10522 3% 1% 6
3 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 6938 5% 0% 11
4 FORUM MATHEMATICUM 5213 3% 1% 7
5 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 3137 1% 1% 2
6 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 3023 2% 1% 4
7 REVISTA MATEMATICA IBEROAMERICANA 2819 2% 1% 4
8 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2593 7% 0% 15
9 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 2007 5% 0% 11
10 STUDIA MATHEMATICA 1702 3% 0% 6

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LIZORKIN TRIEBEL SPACES 392582 2% 56% 5 Search LIZORKIN+TRIEBEL+SPACES Search LIZORKIN+TRIEBEL+SPACES
2 HOMOGENEOUS BESOV SPACES 376880 2% 67% 4 Search HOMOGENEOUS+BESOV+SPACES Search HOMOGENEOUS+BESOV+SPACES
3 FUNCTIONS OF BOUNDED P VARIATION 323039 2% 57% 4 Search FUNCTIONS+OF+BOUNDED+P+VARIATION Search FUNCTIONS+OF+BOUNDED+P+VARIATION
4 FACTORISATION INEQUALITY 282662 1% 100% 2 Search FACTORISATION+INEQUALITY Search FACTORISATION+INEQUALITY
5 MUMFORD PROCESS 282662 1% 100% 2 Search MUMFORD+PROCESS Search MUMFORD+PROCESS
6 PEETRES EMBEDDING THEOREM 282662 1% 100% 2 Search PEETRES+EMBEDDING+THEOREM Search PEETRES+EMBEDDING+THEOREM
7 HIGHER ORDER CHAIN RULE 188440 1% 67% 2 Search HIGHER+ORDER+CHAIN+RULE Search HIGHER+ORDER+CHAIN+RULE
8 SUPERPOSITION OPERATORS 188432 3% 22% 6 Search SUPERPOSITION+OPERATORS Search SUPERPOSITION+OPERATORS
9 ALMOST DIAGONALIZABLE OPERATORS 141331 0% 100% 1 Search ALMOST+DIAGONALIZABLE+OPERATORS Search ALMOST+DIAGONALIZABLE+OPERATORS
10 ANISOTROPIC ELEMENTARY SYMBOLS 141331 0% 100% 1 Search ANISOTROPIC+ELEMENTARY+SYMBOLS Search ANISOTROPIC+ELEMENTARY+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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 5221 ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR
2 18393 ENTROPY NUMBERS//SMALL DEVIATIONS//SMALL BALL PROBABILITY
3 31668 FOURIER INVERSION FORMULA//HONG KRAHN SZEGO INEQUALITY//M HYPOELLIPTICITY
4 30651 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS
5 25549 NEMYTSKII SUPERPOSITION OPERATOR//GENERALIZED BOUNDED VARIATION//LAMBDA VARIATION
6 23695 NONPENETRATION CONDITION//NON PENETRATION//DERIVATIVE OF ENERGY FUNCTIONAL
7 18009 COMPLEX VECTOR FIELDS//ANALYTIC HYPOELLIPTICITY//NON COMMUTATIVE HARMONIC OSCILLATOR
8 37612 HALIOTIS DIVERISICOLOR REEVE//MARINE PROCESSING WASTE//BLACKLIP ABALONE
9 14433 MAXIMAL REGULARITY//OPERATOR VALUED FOURIER MULTIPLIERS//DIFFERENTIAL OPERATOR EQUATIONS
10 11961 BILINEAR HILBERT TRANSFORM//MULTILINEAR OPERATORS//MULTILINEAR CALDERON ZYGMUND OPERATOR

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