Class information for:
Level 1: MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19024 526 16.6 35%


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
19024 1                   MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY 526

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 MATH INFORMAT MECH address 918245 17% 17% 92
2 BELLMAN FUNCTION authKW 639745 4% 48% 23
3 WEAK TYPE INEQUALITY authKW 479373 3% 52% 16
4 BEST CONSTANTS authKW 424485 6% 25% 29
5 MARTINGALE TRANSFORM authKW 373167 3% 43% 15
6 DIFFERENTIAL SUBORDINATION authKW 341018 7% 16% 37
7 MARTINGALE authKW 315301 13% 8% 68
8 LLOGL INEQUALITY authKW 290255 1% 100% 5
9 SUBMARTINGALE authKW 245248 2% 33% 13
10 BELLMAN authKW 218801 1% 54% 7

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 20976 85% 0% 447
2 Mathematics, Applied 1321 21% 0% 109
3 Statistics & Probability 1187 12% 0% 63
4 Multidisciplinary Sciences 2 1% 0% 3
5 Physics, Mathematical -1 0% 0% 2
6 Operations Research & Management Science -1 0% 0% 1
7 Mathematics, Interdisciplinary Applications -1 0% 0% 1
8 Mechanics -4 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 INFORMAT MECH 918245 17% 17% 92
2 MATH ECON MECH 87067 1% 25% 6
3 VA STELDOV MATH 58051 0% 100% 1
4 PL CHEBYSHEV 46438 0% 40% 2
5 DIPARTIMENTO STUDI ECON GIURID 29024 0% 50% 1
6 RECH MODALX 19349 0% 33% 1
7 DIP MATEMAT F BRIO I 14511 0% 25% 1
8 MATEMAT LICADA LITORAL CONICET UNL 14511 0% 25% 1
9 CHEBYSHEV 7931 1% 3% 4
10 ST PETERSBURG 7923 2% 2% 8

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 STUDIA MATHEMATICA 10475 4% 1% 23
2 ELECTRONIC COMMUNICATIONS IN PROBABILITY 6097 2% 1% 9
3 PROBABILITY AND MATHEMATICAL STATISTICS-POLAND 6063 1% 3% 4
4 ILLINOIS JOURNAL OF MATHEMATICS 5353 2% 1% 13
5 ARKIV FOR MATEMATIK 4905 2% 1% 8
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 4454 7% 0% 36
7 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 4316 2% 1% 9
8 MICHIGAN MATHEMATICAL JOURNAL 3229 2% 1% 9
9 INDIANA UNIVERSITY MATHEMATICS JOURNAL 2423 2% 0% 10
10 JOURNAL OF GEOMETRIC ANALYSIS 2297 1% 1% 6

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 BELLMAN FUNCTION 639745 4% 48% 23 Search BELLMAN+FUNCTION Search BELLMAN+FUNCTION
2 WEAK TYPE INEQUALITY 479373 3% 52% 16 Search WEAK+TYPE+INEQUALITY Search WEAK+TYPE+INEQUALITY
3 BEST CONSTANTS 424485 6% 25% 29 Search BEST+CONSTANTS Search BEST+CONSTANTS
4 MARTINGALE TRANSFORM 373167 3% 43% 15 Search MARTINGALE+TRANSFORM Search MARTINGALE+TRANSFORM
5 DIFFERENTIAL SUBORDINATION 341018 7% 16% 37 Search DIFFERENTIAL+SUBORDINATION Search DIFFERENTIAL+SUBORDINATION
6 MARTINGALE 315301 13% 8% 68 Search MARTINGALE Search MARTINGALE
7 LLOGL INEQUALITY 290255 1% 100% 5 Search LLOGL+INEQUALITY Search LLOGL+INEQUALITY
8 SUBMARTINGALE 245248 2% 33% 13 Search SUBMARTINGALE Search SUBMARTINGALE
9 BELLMAN 218801 1% 54% 7 Search BELLMAN Search BELLMAN
10 BEURLING AHLFORS OPERATOR 207322 1% 71% 5 Search BEURLING+AHLFORS+OPERATOR Search BEURLING+AHLFORS+OPERATOR

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 BANUELOS, R , (2010) THE FOUNDATIONAL INEQUALITIES OF D. L. BURKHOLDER AND SOME OF THEIR RAMIFICATIONS.ILLINOIS JOURNAL OF MATHEMATICS. VOL. 54. ISSUE 3. P. 789 -868 59 76% 12
2 BANUELOS, R , OSEKOWSKI, A , (2015) SHARP MARTINGALE INEQUALITIES AND APPLICATIONS TO RIESZ TRANSFORMS ON MANIFOLDS, LIE GROUPS AND GAUSS SPACE.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 269. ISSUE 6. P. 1652 -1713 34 67% 2
3 OSEKOWSKI, A , (2013) SURVEY ARTICLE: BELLMAN FUNCTION METHOD AND SHARP INEQUALITIES FOR MARTINGALES.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 43. ISSUE 6. P. 1759-1823 21 95% 4
4 ARCOZZI, N , DOMELEVO, K , PETERMICHL, S , (2016) SECOND ORDER RIESZ TRANSFORMS ON MULTIPLY-CONNECTED LIE GROUPS AND PROCESSES WITH JUMPS.POTENTIAL ANALYSIS. VOL. 45. ISSUE 4. P. 777 -794 20 95% 0
5 OSEKOWSKI, A , (2014) MAXIMAL INEQUALITIES FOR MARTINGALES AND THEIR DIFFERENTIAL SUBORDINATES.JOURNAL OF THEORETICAL PROBABILITY. VOL. 27. ISSUE 1. P. 1-21 16 100% 1
6 OSEKOWSKI, A , (2017) INEQUALITIES FOR HILBERT OPERATOR AND ITS EXTENSIONS: THE PROBABILISTIC APPROACH.ANNALS OF PROBABILITY. VOL. 45. ISSUE 1. P. 535 -563 16 89% 0
7 BANUELOS, R , OSEKOWSKI, A , (2013) BURKHOLDER INEQUALITIES FOR SUBMARTINGALES, BESSEL PROCESSES AND CONFORMAL MARTINGALES.AMERICAN JOURNAL OF MATHEMATICS. VOL. 135. ISSUE 6. P. 1675-1698 18 86% 1
8 STOLYAROV, DM , ZATITSKIY, PB , (2016) THEORY OF LOCALLY CONCAVE FUNCTIONS AND ITS APPLICATIONS TO SHARP ESTIMATES OF INTEGRAL FUNCTIONALS.ADVANCES IN MATHEMATICS. VOL. 291. ISSUE . P. 228 -273 14 100% 0
9 OSEKOWSKI, A , (2015) A SPLITTING PROCEDURE FOR BELLMAN FUNCTIONS AND THE ACTION OF DYADIC MAXIMAL OPERATORS ON L-P.MATHEMATIKA. VOL. 61. ISSUE 1. P. 199 -212 15 94% 0
10 OSEKOWSKI, A , (2015) SHARP WEAK-TYPE ESTIMATES FOR THE DYADIC-LIKE MAXIMAL OPERATORS.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 19. ISSUE 4. P. 1031 -1050 14 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
2 22203 JACOBI EXPANSION//RIESZ TRANSFORM//FOURIER BESSEL EXPANSIONS
3 14340 MAXIMAL REGULARITY//DIFFERENTIAL OPERATOR EQUATIONS//OPERATOR VALUED FOURIER MULTIPLIERS
4 17835 MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM
5 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
6 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR
7 22169 SKOROKHOD EMBEDDING PROBLEM//MAXIMUM PROCESS//SKOROKHOD EMBEDDING
8 25084 SET INDEXED PROCESS//ADAPTED RANDOM SET//SET INDEXED MARTINGALE
9 6458 LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION
10 10255 MAPPINGS OF FINITE DISTORTION//GRAND LEBESGUE SPACES//MAPPING OF FINITE DISTORTION

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