Class information for:
Level 1: MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17835 580 16.4 25%


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
17835 1                   MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM 580

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 MARTINGALE HARDY SPACE authKW 1686218 6% 97% 33
2 NUMER ANAL address 1263643 13% 33% 73
3 WALSH KACZMARZ SYSTEM authKW 1263503 4% 100% 24
4 FEJER MEANS authKW 1134605 4% 86% 25
5 VILENKIN GROUP authKW 878633 4% 76% 22
6 VILENKIN SYSTEM authKW 812247 3% 86% 18
7 P ATOM authKW 748739 3% 89% 16
8 WALSH SYSTEM authKW 610952 4% 55% 21
9 MARCINKIEWICZ MEANS authKW 593141 2% 87% 13
10 MARCINKIEWICZ FEJER MEANS authKW 473814 2% 100% 9

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 25297 89% 0% 515
2 Mathematics, Applied 2473 27% 0% 154
3 Statistics & Probability 140 4% 0% 25
4 Multidisciplinary Sciences 7 1% 0% 5
5 Physics, Mathematical 2 1% 0% 7
6 Mathematics, Interdisciplinary Applications 2 1% 0% 5
7 Computer Science, Cybernetics 0 0% 0% 1
8 Automation & Control Systems -0 0% 0% 2
9 Computer Science, Theory & Methods -1 0% 0% 2
10 Computer Science, Information Systems -2 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 NUMER ANAL 1263643 13% 33% 73
2 EXACT NAT SCI 174941 8% 7% 48
3 NEAR SENSING TECH MILIMETER WAVE OPT WAVE 52646 0% 100% 1
4 U GOGINAVA 52646 0% 100% 1
5 UFR UMR 5582 52646 0% 100% 1
6 YUELU AREA 52646 0% 100% 1
7 ENGN SCI MATH 34158 3% 4% 17
8 NUMER HARMON ANAL GRP 18218 1% 12% 3
9 MATEMAT TANSZEK 17547 0% 33% 1
10 N LES BRANCH 10528 0% 20% 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 94219 3% 11% 16
2 ACTA MATHEMATICA HUNGARICA 89854 12% 2% 71
3 JOURNAL OF APPROXIMATION THEORY 21075 6% 1% 37
4 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 12654 2% 2% 12
5 STUDIA MATHEMATICA 12141 4% 1% 26
6 GEORGIAN MATHEMATICAL JOURNAL 11206 2% 2% 10
7 PUBLICATIONES MATHEMATICAE-DEBRECEN 9805 3% 1% 19
8 ACTA MATHEMATICA SINICA-ENGLISH SERIES 7208 3% 1% 19
9 MATHEMATICAL NOTES 5560 4% 0% 23
10 UKRAINIAN MATHEMATICAL JOURNAL 5380 2% 1% 10

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 MARTINGALE HARDY SPACE 1686218 6% 97% 33 Search MARTINGALE+HARDY+SPACE Search MARTINGALE+HARDY+SPACE
2 WALSH KACZMARZ SYSTEM 1263503 4% 100% 24 Search WALSH+KACZMARZ+SYSTEM Search WALSH+KACZMARZ+SYSTEM
3 FEJER MEANS 1134605 4% 86% 25 Search FEJER+MEANS Search FEJER+MEANS
4 VILENKIN GROUP 878633 4% 76% 22 Search VILENKIN+GROUP Search VILENKIN+GROUP
5 VILENKIN SYSTEM 812247 3% 86% 18 Search VILENKIN+SYSTEM Search VILENKIN+SYSTEM
6 P ATOM 748739 3% 89% 16 Search P+ATOM Search P+ATOM
7 WALSH SYSTEM 610952 4% 55% 21 Search WALSH+SYSTEM Search WALSH+SYSTEM
8 MARCINKIEWICZ MEANS 593141 2% 87% 13 Search MARCINKIEWICZ+MEANS Search MARCINKIEWICZ+MEANS
9 MARCINKIEWICZ FEJER MEANS 473814 2% 100% 9 Search MARCINKIEWICZ+FEJER+MEANS Search MARCINKIEWICZ+FEJER+MEANS
10 WALSH GROUP 473814 2% 100% 9 Search WALSH+GROUP Search WALSH+GROUP

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 BLAHOTA, I , PERSSON, LE , TEPHNADZE, G , (2015) ON THE NORLUND MEANS OF VILENKIN-FOURIER SERIES.CZECHOSLOVAK MATHEMATICAL JOURNAL. VOL. 65. ISSUE 4. P. 983 -1002 23 100% 1
2 NAGY, K , TEPHNADZE, G , (2016) THE WALSH-KACZMARZ-MARCINKIEWICZ MEANS AND HARDY SPACES.ACTA MATHEMATICA HUNGARICA. VOL. 149. ISSUE 2. P. 346 -374 20 100% 0
3 PERSSON, LE , TEPHNADZE, G , WALL, P , (2015) SOME NEW (H-P, L-P) TYPE INEQUALITIES OF MAXIMAL OPERATORS OF VILENKIN-NORLUND MEANS WITH NON-DECREASING COEFFICIENTS.JOURNAL OF MATHEMATICAL INEQUALITIES. VOL. 9. ISSUE 4. P. 1055 -1069 19 100% 0
4 BARAMIDZE, L , PERSSON, LE , TEPHNADZE, G , WALL, P , (2016) SHARP H-P-L-P TYPE INEQUALITIES OF WEIGHTED MAXIMAL OPERATORS OF VILENKIN-NORLUND MEANS AND ITS APPLICATIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 18 100% 0
5 BLAHOTA, I , TEPHNADZE, G , TOLEDO, R , (2015) STRONG CONVERGENCE THEOREM OF CESARO MEANS WITH RESPECT TO THE WALSH SYSTEM.TOHOKU MATHEMATICAL JOURNAL. VOL. 67. ISSUE 4. P. 573 -584 17 100% 1
6 JIAO, Y , WU, L , YANG, AM , YI, R , (2017) THE PREDUAL AND JOHN-NIRENBERG INEQUALITIES ON GENERALIZED BMO MARTINGALE SPACES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 369. ISSUE 1. P. 537 -553 8 89% 2
7 NAGY, K , TEPHNADZE, G , (2016) STRONG CONVERGENCE THEOREM FOR WALSH-MARCINKIEWICZ MEANS.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 19. ISSUE 1. P. 185 -195 14 100% 1
8 TEPHNADZE, G , (2014) APPROXIMATION BY WALSH-KACZMARZ-FEJER MEANS ON THE HARDY SPACE.ACTA MATHEMATICA SCIENTIA. VOL. 34. ISSUE 5. P. 1593 -1602 16 94% 3
9 PERSSON, LE , TEPHNADZE, G , WALL, P , (2015) MAXIMAL OPERATORS OF VILENKIN-NORLUND MEANS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 21. ISSUE 1. P. 76 -94 14 100% 4
10 NAGY, K , TEPHNADZE, G , (2014) APPROXIMATION BY WALSH-MARCINKIEWICZ MEANS ON THE HARDY SPACE H-2/3.KYOTO JOURNAL OF MATHEMATICS. VOL. 54. ISSUE 3. P. 641 -652 15 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 18645 MEAN VALUE BOUNDED VARIATION//EMBEDDING RELATIONS//HOLDER METRIC
2 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR
3 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
4 25111 METRIC SEMIGROUP//NEMYTSKII SUPERPOSITION OPERATOR//GENERALIZED BOUNDED VARIATION
5 19024 MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY
6 37574 GENERALIZED ZYGMUND CLASSES//ACTA SCIENTIARUM MATHEMATICARUM//EXPANSIONS OF FUNCTIONS
7 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
8 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
9 8015 ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR
10 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR

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