Class information for:
Level 2: MATHEMATICS//MAXIMAL OPERATOR//BMO

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
842 11754 18.0 37%


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
5559 1                   RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE 1606
5720 1                   NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR 1583
6458 1                   LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION 1482
8015 1                   ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR 1302
12467 1                   CONE MULTIPLIERS//FOURIER RESTRICTION//ORBITAL MEASURE 903
14340 1                   MAXIMAL REGULARITY//DIFFERENTIAL OPERATOR EQUATIONS//OPERATOR VALUED FOURIER MULTIPLIERS 776
17473 1                   BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE 597
17835 1                   MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM 580
18645 1                   MEAN VALUE BOUNDED VARIATION//EMBEDDING RELATIONS//HOLDER METRIC 542
19024 1                   MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY 526
19898 1                   ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS 485
22203 1                   JACOBI EXPANSION//RIESZ TRANSFORM//FOURIER BESSEL EXPANSIONS 390
25111 1                   METRIC SEMIGROUP//NEMYTSKII SUPERPOSITION OPERATOR//GENERALIZED BOUNDED VARIATION 291
26396 1                   POSITIVE DEFINITE KERNELS//MERCERS THEOREM//FOURIER INVERSION FORMULA 255
26692 1                   PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY 248
29344 1                   WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR 188

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 MATHEMATICS WoSSC 553850 92% 2% 10840
2 MAXIMAL OPERATOR authKW 415627 2% 76% 211
3 BMO authKW 410471 2% 72% 220
4 COMMUTATOR authKW 405021 3% 48% 322
5 CALDERON ZYGMUND OPERATOR authKW 388138 1% 88% 169
6 HARDY SPACE authKW 373361 3% 38% 381
7 ROUGH KERNEL authKW 355709 1% 99% 139
8 RIESZ TRANSFORM authKW 353524 2% 72% 190
9 TRIEBEL LIZORKIN SPACE authKW 332337 2% 71% 180
10 SINGULAR INTEGRALS authKW 288613 2% 46% 244

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 553850 92% 2% 10840
2 Mathematics, Applied 66390 30% 1% 3566
3 Statistics & Probability 475 2% 0% 247
4 Multidisciplinary Sciences 68 1% 0% 80
5 Physics, Mathematical -1 1% 0% 77
6 Literary Theory & Criticism -1 0% 0% 1
7 Logic -4 0% 0% 1
8 Computer Science, Cybernetics -8 0% 0% 1
9 Ethics -11 0% 0% 1
10 History & Philosophy of Science -12 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 162596 2% 29% 213
2 MATH 104954 36% 1% 4175
3 MATH COMPLEX SYST BNU 93441 0% 86% 42
4 NUMER ANAL 80451 1% 37% 83
5 MATH INFORMAT MECH 50317 1% 19% 102
6 ANAL MATEMAT 32620 2% 7% 182
7 MATH ANAL FUNCT THEORY 31334 0% 93% 13
8 MATEMAT LICADA ANAL 29691 1% 16% 73
9 MATEMAT 29554 5% 2% 586
10 MATH SCI 24872 8% 1% 910

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 266176 5% 19% 548
2 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 83791 1% 20% 166
3 MATHEMATISCHE NACHRICHTEN 79831 3% 9% 352
4 REVISTA MATEMATICA IBEROAMERICANA 74876 1% 20% 148
5 ANALYSIS MATHEMATICA 60999 0% 41% 58
6 JOURNAL OF FUNCTIONAL ANALYSIS 59085 3% 6% 386
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 54691 5% 4% 598
8 MATHEMATICAL INEQUALITIES & APPLICATIONS 52511 1% 12% 169
9 PUBLICACIONS MATEMATIQUES 43273 1% 20% 83
10 JOURNAL OF FUNCTION SPACES AND APPLICATIONS 42279 1% 21% 77

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 MAXIMAL OPERATOR 415627 2% 76% 211 Search MAXIMAL+OPERATOR Search MAXIMAL+OPERATOR
2 BMO 410471 2% 72% 220 Search BMO Search BMO
3 COMMUTATOR 405021 3% 48% 322 Search COMMUTATOR Search COMMUTATOR
4 CALDERON ZYGMUND OPERATOR 388138 1% 88% 169 Search CALDERON+ZYGMUND+OPERATOR Search CALDERON+ZYGMUND+OPERATOR
5 HARDY SPACE 373361 3% 38% 381 Search HARDY+SPACE Search HARDY+SPACE
6 ROUGH KERNEL 355709 1% 99% 139 Search ROUGH+KERNEL Search ROUGH+KERNEL
7 RIESZ TRANSFORM 353524 2% 72% 190 Search RIESZ+TRANSFORM Search RIESZ+TRANSFORM
8 TRIEBEL LIZORKIN SPACE 332337 2% 71% 180 Search TRIEBEL+LIZORKIN+SPACE Search TRIEBEL+LIZORKIN+SPACE
9 SINGULAR INTEGRALS 288613 2% 46% 244 Search SINGULAR+INTEGRALS Search SINGULAR+INTEGRALS
10 MAXIMAL FUNCTION 285914 2% 57% 193 Search MAXIMAL+FUNCTION Search MAXIMAL+FUNCTION

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 72 100% 7
2 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 69 88% 12
3 FU, X , LIN, HB , YANG, DC , YANG, DY , (2015) HARDY SPACES H (P) OVER NON-HOMOGENEOUS METRIC MEASURE SPACES AND THEIR APPLICATIONS.SCIENCE CHINA-MATHEMATICS. VOL. 58. ISSUE 2. P. 309 -388 40 98% 14
4 BETANCOR, JJ , CASTRO, AJ , FARINA, JC , RODRIGUEZ-MESA, L , (2017) CONICAL SQUARE FUNCTIONS ASSOCIATED WITH BESSEL, LAGUERRE AND SCHRODINGER OPERATORS IN UMD BANACH SPACES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 447. ISSUE 1. P. 32 -75 45 100% 0
5 VOLBERG, AL , EIDERMAN, VY , (2013) NON-HOMOGENEOUS HARMONIC ANALYSIS: 16 YEARS OF DEVELOPMENT.RUSSIAN MATHEMATICAL SURVEYS. VOL. 68. ISSUE 6. P. 973 -1026 59 82% 0
6 NAKAMURA, S , NOI, T , SAWANO, Y , (2016) GENERALIZED MORREY SPACES AND TRACE OPERATOR.SCIENCE CHINA-MATHEMATICS. VOL. 59. ISSUE 2. P. 281 -336 49 84% 1
7 KUNSTMANN, PC , WEIS, L , (2004) MAXIMAL L-P-REGULARITY FOR PARABOLIC EQUATIONS, FOURIER MULTIPLIER THEOREMS AND H INFINITY-FUNCTIONAL CALCULUS.FUNCTIONAL ANALYTIC METHODS FOR EVOLUTION EQUATIONS. VOL. 1855. ISSUE . P. 65 -311 63 75% 163
8 GRAFAKOS, L , LIU, LG , MALDONADO, D , YANG, DC , (2014) MULTILINEAR ANALYSIS ON METRIC SPACES.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 497. P. 1 -121 49 84% 10
9 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 44 86% 8
10 YANG, DC , YANG, SB , (2014) MUSIELAK-ORLICZ-HARDY SPACES ASSOCIATED WITH OPERATORS AND THEIR APPLICATIONS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 24. ISSUE 1. P. 495 -570 48 86% 8

Classes with closest relation at Level 2


Rank Class id link
1 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS
2 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
3 1493 MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE
4 2288 MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS
5 1602 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES
6 2872 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
7 4006 POTENTIAL TYPE OPERATORS//QUASINORMAL FORM//ANISOTROPIC SINGULAR PERTURBATIONS
8 1797 MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS
9 3165 SUMSETS//STONE CECH COMPACTIFICATION//ZERO SUM SEQUENCE
10 499 FRACTIONAL BROWNIAN MOTION//ANNALS OF PROBABILITY//LOCAL TIME

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