Class information for:
Level 1: ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8015 1302 18.8 43%


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
8015 1                   ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR 1302

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 ROUGH KERNEL authKW 2986415 10% 95% 134
2 MARCINKIEWICZ INTEGRAL authKW 1779235 6% 90% 84
3 COMMUTATOR authKW 1032474 13% 26% 171
4 HERZ SPACE authKW 849213 4% 77% 47
5 MORREY SPACE authKW 837792 7% 42% 86
6 BMO authKW 766238 8% 33% 100
7 TRIEBEL LIZORKIN SPACE authKW 701470 7% 34% 87
8 LITTLEWOOD PALEY OPERATOR authKW 643891 2% 89% 31
9 MULTILINEAR OPERATOR authKW 627075 3% 70% 38
10 SINGULAR INTEGRALS authKW 579520 9% 21% 115

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 64862 95% 0% 1234
2 Mathematics, Applied 17144 46% 0% 593
3 Multidisciplinary Sciences 3 1% 0% 7
4 Operations Research & Management Science -3 0% 0% 2
5 Mathematics, Interdisciplinary Applications -3 0% 0% 2
6 Physics, Mathematical -3 0% 0% 4
7 Statistics & Probability -4 0% 0% 2
8 Computer Science, Software Engineering -5 0% 0% 1
9 Engineering, General -5 0% 0% 1
10 Computer Science, Information Systems -7 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 COMPLEX SYST BNU 490056 2% 65% 32
2 MATH COMPLEX SYST 91014 4% 7% 53
3 FUNCT ANAL GEOMETRY SPACES 31267 0% 67% 2
4 SCI INFORMAT SCI 29306 0% 25% 5
5 MATH 23625 50% 0% 652
6 BNUMINIST EDUC 23451 0% 100% 1
7 DMA MATEMAT 23451 0% 100% 1
8 DMAI MATEMAT 23451 0% 100% 1
9 MATH BOX 1146 1 BROOKINGS DR 23451 0% 100% 1
10 MATH SYAT SCI 23451 0% 100% 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 ACTA MATHEMATICA SINICA-ENGLISH SERIES 67503 7% 3% 87
2 JOURNAL OF FUNCTION SPACES 40915 2% 7% 26
3 JOURNAL OF FUNCTION SPACES AND APPLICATIONS 31227 2% 6% 22
4 STUDIA MATHEMATICA 30761 5% 2% 62
5 JOURNAL OF INEQUALITIES AND APPLICATIONS 28116 5% 2% 63
6 APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B 24294 2% 5% 21
7 JOURNAL OF MATHEMATICAL INEQUALITIES 22430 2% 4% 23
8 MATHEMATICAL INEQUALITIES & APPLICATIONS 11240 2% 2% 26
9 REVISTA MATEMATICA COMPLUTENSE 10297 1% 4% 11
10 MATHEMATISCHE NACHRICHTEN 9782 3% 1% 41

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 ROUGH KERNEL 2986415 10% 95% 134 Search ROUGH+KERNEL Search ROUGH+KERNEL
2 MARCINKIEWICZ INTEGRAL 1779235 6% 90% 84 Search MARCINKIEWICZ+INTEGRAL Search MARCINKIEWICZ+INTEGRAL
3 COMMUTATOR 1032474 13% 26% 171 Search COMMUTATOR Search COMMUTATOR
4 HERZ SPACE 849213 4% 77% 47 Search HERZ+SPACE Search HERZ+SPACE
5 MORREY SPACE 837792 7% 42% 86 Search MORREY+SPACE Search MORREY+SPACE
6 BMO 766238 8% 33% 100 Search BMO Search BMO
7 TRIEBEL LIZORKIN SPACE 701470 7% 34% 87 Search TRIEBEL+LIZORKIN+SPACE Search TRIEBEL+LIZORKIN+SPACE
8 LITTLEWOOD PALEY OPERATOR 643891 2% 89% 31 Search LITTLEWOOD+PALEY+OPERATOR Search LITTLEWOOD+PALEY+OPERATOR
9 MULTILINEAR OPERATOR 627075 3% 70% 38 Search MULTILINEAR+OPERATOR Search MULTILINEAR+OPERATOR
10 SINGULAR INTEGRALS 579520 9% 21% 115 Search SINGULAR+INTEGRALS Search SINGULAR+INTEGRALS

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 NAKAMURA, S , NOI, T , SAWANO, Y , (2016) GENERALIZED MORREY SPACES AND TRACE OPERATOR.SCIENCE CHINA-MATHEMATICS. VOL. 59. ISSUE 2. P. 281 -336 41 71% 1
2 YABUTA, K , (2015) TRIEBEL-LIZORKIN SPACE BOUNDEDNESS OF MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES.APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B. VOL. 30. ISSUE 4. P. 418 -446 25 96% 0
3 GULIYEV, VS , HASANOV, SG , SAWANO, Y , NOI, T , (2016) NON-SMOOTH ATOMIC DECOMPOSITIONS FOR GENERALIZED ORLICZ-MORREY SPACES OF THE THIRD KIND.ACTA APPLICANDAE MATHEMATICAE. VOL. 145. ISSUE 1. P. 133 -174 33 70% 0
4 RUAN, JM , FAN, DS , (2016) HAUSDORFF OPERATORS ON THE WEIGHTED HERZ-TYPE HARDY SPACES.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 19. ISSUE 2. P. 565 -587 22 100% 0
5 LIU, F , WU, HX , (2016) L-P BOUNDS FOR MARCINKIEWICZ INTEGRALS ASSOCIATED TO HOMOGENEOUS MAPPINGS.MONATSHEFTE FUR MATHEMATIK. VOL. 181. ISSUE 4. P. 875 -906 22 100% 0
6 SAWANO, Y , HAKIM, DI , GUNAWAN, H , (2015) NON-SMOOTH ATOMIC DECOMPOSITION FOR GENERALIZED ORLICZ-MORREY SPACES.MATHEMATISCHE NACHRICHTEN. VOL. 288. ISSUE 14-15. P. 1741 -1775 31 70% 1
7 ZHUO, CQ , YANG, DC , YUAN, W , (2014) HAUSDORFF BESOV-TYPE AND TRIEBEL-LIZORKIN-TYPE SPACES AND THEIR APPLICATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 412. ISSUE 2. P. 998-1018 23 92% 4
8 LIU, F , WU, HX , ZHANG, DQ , (2015) L-P BOUNDS FOR PARAMETRIC MARCINKIEWICZ INTEGRALS WITH MIXED HOMOGENEITY.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 18. ISSUE 2. P. 453 -469 21 100% 0
9 LIU, F , ZHANG, DQ , (2015) PARABOLIC MARCINKIEWICZ INTEGRALS ASSOCIATED TO POLYNOMIALS COMPOUND CURVES AND EXTRAPOLATION.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 52. ISSUE 3. P. 771 -788 20 100% 0
10 YUAN, W , WINFRIED, S , YANG, DC , (2015) INTERPOLATION OF MORREY-CAMPANATO AND RELATED SMOOTHNESS SPACES.SCIENCE CHINA-MATHEMATICS. VOL. 58. ISSUE 9. P. 1835 -1908 29 57% 8

Classes with closest relation at Level 1


Rank Class id link
1 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
2 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
3 12467 CONE MULTIPLIERS//FOURIER RESTRICTION//ORBITAL MEASURE
4 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY
5 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR
6 3725 VARIABLE EXPONENT//PX LAPLACIAN//KIRCHHOFF TYPE PROBLEM
7 22203 JACOBI EXPANSION//RIESZ TRANSFORM//FOURIER BESSEL EXPANSIONS
8 17835 MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM
9 6458 LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION
10 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS

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