Class information for:
Level 1: LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6458 1482 17.6 34%


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
6458 1                   LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION 1482

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 LORENTZ SPACES authKW 527508 6% 31% 83
2 REARRANGEMENT INVARIANT SPACES authKW 513419 4% 46% 54
3 REAL INTERPOLATION authKW 437466 3% 56% 38
4 HARDY OPERATOR authKW 345690 2% 48% 35
5 LORENTZ ZYGMUND SPACES authKW 283523 1% 81% 17
6 WEIGHTED INEQUALITIES authKW 233046 2% 31% 37
7 LORENTZ KARAMATA SPACES authKW 211908 1% 86% 12
8 MATH ANAL FUNCT THEORY address 211908 1% 86% 12
9 OPTIMAL EMBEDDINGS authKW 185422 1% 100% 9
10 CLASSICAL LORENTZ SPACES authKW 164820 1% 100% 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 74731 95% 0% 1413
2 Mathematics, Applied 9187 32% 0% 470
3 Multidisciplinary Sciences 24 1% 0% 14
4 Literary Theory & Criticism 1 0% 0% 1
5 Computer Science, Theory & Methods -3 0% 0% 5
6 Statistics & Probability -4 0% 0% 3
7 Physics, Mathematical -7 0% 0% 2
8 Telecommunications -8 0% 0% 1
9 Mechanics -15 0% 0% 1
10 Psychiatry -16 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 MATH ANAL FUNCT THEORY 211908 1% 86% 12
2 SECC MATEMAT LICADA 147155 1% 71% 10
3 MATH ANAL 68437 5% 5% 73
4 MATH MAI 61807 0% 100% 3
5 SECC DEPARTAMENTAL MATEMAT LICADA 61807 0% 100% 3
6 MATEMAT LICADA ANAL 57478 2% 8% 36
7 ESCUELA ESTADIST 51092 1% 18% 14
8 MATEMAT FCT 47088 0% 57% 4
9 POZNAN BRANCH 43609 1% 18% 12
10 PL MATH ANAL 39739 1% 10% 19

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 MATHEMATICAL INEQUALITIES & APPLICATIONS 61874 4% 5% 65
2 STUDIA MATHEMATICA 49639 6% 3% 84
3 MATHEMATISCHE NACHRICHTEN 25844 5% 2% 71
4 REVISTA MATEMATICA COMPLUTENSE 12636 1% 5% 13
5 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 11067 1% 4% 14
6 JOURNAL OF APPROXIMATION THEORY 10581 3% 1% 42
7 DOKLADY MATHEMATICS 10187 3% 1% 39
8 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 10165 1% 3% 19
9 JOURNAL OF FUNCTIONAL ANALYSIS 8844 4% 1% 53
10 ARKIV FOR MATEMATIK 8806 1% 2% 18

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 LORENTZ SPACES 527508 6% 31% 83 Search LORENTZ+SPACES Search LORENTZ+SPACES
2 REARRANGEMENT INVARIANT SPACES 513419 4% 46% 54 Search REARRANGEMENT+INVARIANT+SPACES Search REARRANGEMENT+INVARIANT+SPACES
3 REAL INTERPOLATION 437466 3% 56% 38 Search REAL+INTERPOLATION Search REAL+INTERPOLATION
4 HARDY OPERATOR 345690 2% 48% 35 Search HARDY+OPERATOR Search HARDY+OPERATOR
5 LORENTZ ZYGMUND SPACES 283523 1% 81% 17 Search LORENTZ+ZYGMUND+SPACES Search LORENTZ+ZYGMUND+SPACES
6 WEIGHTED INEQUALITIES 233046 2% 31% 37 Search WEIGHTED+INEQUALITIES Search WEIGHTED+INEQUALITIES
7 LORENTZ KARAMATA SPACES 211908 1% 86% 12 Search LORENTZ+KARAMATA+SPACES Search LORENTZ+KARAMATA+SPACES
8 OPTIMAL EMBEDDINGS 185422 1% 100% 9 Search OPTIMAL+EMBEDDINGS Search OPTIMAL+EMBEDDINGS
9 CLASSICAL LORENTZ SPACES 164820 1% 100% 8 Search CLASSICAL+LORENTZ+SPACES Search CLASSICAL+LORENTZ+SPACES
10 REARRANGEMENT INVARIANT FUNCTION SPACES 155799 1% 69% 11 Search REARRANGEMENT+INVARIANT+FUNCTION+SPACES Search REARRANGEMENT+INVARIANT+FUNCTION+SPACES

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 GOGATISHVILI, A , STEPANOV, VD , (2013) REDUCTION THEOREMS FOR WEIGHTED INTEGRAL INEQUALITIES ON THE CONE OF MONOTONE FUNCTIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 68. ISSUE 4. P. 597 -664 69 96% 7
2 PROKHOROV, DV , STEPANOV, VD , (2016) WEIGHTED INEQUALITIES FOR QUASILINEAR INTEGRAL OPERATORS ON THE SEMI-AXIS AND APPLICATIONS TO LORENTZ SPACES.SBORNIK MATHEMATICS. VOL. 207. ISSUE 8. P. 1159 -1186 28 90% 1
3 STEPANOV, VD , SHAMBILOVA, GE , (2016) BOUNDEDNESS OF QUASILINEAR INTEGRAL OPERATORS ON THE CONE OF MONOTONE FUNCTIONS.SIBERIAN MATHEMATICAL JOURNAL. VOL. 57. ISSUE 5. P. 884 -904 27 93% 0
4 FERNANDEZ-MARTINEZ, P , SEGURADO, A , SIGNES, T , (2016) COMPACTNESS RESULTS FOR A CLASS OF LIMITING INTERPOLATION METHODS.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 5. P. 2959 -2979 23 88% 1
5 PROKHOROV, DV , (2016) ON A CLASS OF WEIGHTED INEQUALITIES CONTAINING QUASILINEAR OPERATORS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 293. ISSUE 1. P. 272 -287 19 100% 2
6 GOGATISHVILI, A , MOURA, SD , NEVES, JS , OPIC, B , (2015) EMBEDDINGS OF SOBOLEV-TYPE SPACES INTO GENERALIZED HOLDER SPACES INVOLVING K-MODULUS OF SMOOTHNESS.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 194. ISSUE 2. P. 425 -450 19 100% 1
7 STEPANOV, VD , (2015) ON OPTIMAL BANACH SPACES CONTAINING A WEIGHT CONE OF MONOTONE OR QUASICONCAVE FUNCTIONS.MATHEMATICAL NOTES. VOL. 98. ISSUE 5-6. P. 957 -970 21 91% 0
8 POPOVA, OV , (2012) HARDY-TYPE INEQUALITIES ON THE CONES OF MONOTONE FUNCTIONS.SIBERIAN MATHEMATICAL JOURNAL. VOL. 53. ISSUE 1. P. 152-167 20 100% 5
9 COBOS, F , DOMINGUEZ, O , (2015) ON BESOV SPACES OF LOGARITHMIC SMOOTHNESS AND LIPSCHITZ SPACES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 425. ISSUE 1. P. 71 -84 20 91% 1
10 COBOS, F , SEGURADO, A , (2015) DESCRIPTION OF LOGARITHMIC INTERPOLATION SPACES BY MEANS OF THE J-FUNCTIONAL AND APPLICATIONS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 268. ISSUE 10. P. 2906 -2945 18 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 19898 ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS
2 25247 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
3 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
4 35122 ALPHA CONCAVITY//ALGEBRA OF CONTINUOUS VECTOR VALUED FUNCTIONS//ANTI HOMOMORPHISMS
5 15723 EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS
6 19024 MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY
7 12607 STRICTLY SINGULAR OPERATOR//SZLENK INDEX//KRUGLOV PROPERTY
8 22037 VECTOR MEASURE//BANACH FUNCTION SPACE//MATH GEOGR FAK
9 9177 JAMES CONSTANT//NORMAL STRUCTURE//FIXED POINT PROPERTY
10 8015 ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR

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