Class information for:
Level 1: RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5559 1606 22.5 42%


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

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 RIESZ TRANSFORM authKW 717294 6% 38% 100
2 SPECTRAL MULTIPLIERS authKW 556070 2% 75% 39
3 HARDY SPACE authKW 452866 10% 15% 155
4 SPACE OF HOMOGENEOUS TYPE authKW 404012 3% 51% 42
5 REVERSE HOLDER CLASS authKW 304177 1% 80% 20
6 SPACES OF HOMOGENEOUS TYPE authKW 276787 2% 47% 31
7 CALDERON REPRODUCING FORMULA authKW 267723 2% 54% 26
8 DAVIES GAFFNEY ESTIMATE authKW 248416 1% 93% 14
9 MUSIELAK ORLICZ HARDY SPACE authKW 247151 1% 100% 13
10 ATOMIC DECOMPOSITION authKW 235220 3% 25% 49

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 74109 91% 0% 1466
2 Mathematics, Applied 6431 26% 0% 414
3 Statistics & Probability 89 2% 0% 38
4 Physics, Mathematical 0 1% 0% 13
5 Multidisciplinary Sciences -0 0% 0% 3
6 Mathematics, Interdisciplinary Applications -5 0% 0% 2
7 Engineering, General -7 0% 0% 1
8 Mechanics -14 0% 0% 2
9 Physics, Multidisciplinary -25 0% 0% 3
10 Materials Science, Multidisciplinary -64 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 222404 6% 13% 92
2 MATH SCI CMA 57035 0% 100% 3
3 MATH IMB 52806 0% 56% 5
4 UMR 8628 38697 2% 6% 34
5 MEKURO KU 28514 0% 50% 3
6 MATH 19824 42% 0% 667
7 JEAN LERAY 19611 0% 13% 8
8 ANAL GEOMETRIECOURS LIBERAT 19012 0% 100% 1
9 BORDELAIS ANAL GEOMETRIECOURS LIBERAT 351 19012 0% 100% 1
10 CIENCIAS MATH UAM UC3M UCM 19012 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 REVISTA MATEMATICA IBEROAMERICANA 36193 2% 5% 38
2 JOURNAL OF FUNCTIONAL ANALYSIS 35355 7% 2% 110
3 STUDIA MATHEMATICA 29106 4% 2% 67
4 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 24265 2% 4% 33
5 POTENTIAL ANALYSIS 23198 2% 3% 35
6 JOURNAL OF GEOMETRIC ANALYSIS 14150 2% 3% 26
7 MATHEMATISCHE NACHRICHTEN 11324 3% 1% 49
8 BULLETIN DES SCIENCES MATHEMATIQUES 10544 2% 2% 26
9 MATHEMATISCHE ZEITSCHRIFT 10128 3% 1% 52
10 TAIWANESE JOURNAL OF MATHEMATICS 9953 2% 2% 30

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 RIESZ TRANSFORM 717294 6% 38% 100 Search RIESZ+TRANSFORM Search RIESZ+TRANSFORM
2 SPECTRAL MULTIPLIERS 556070 2% 75% 39 Search SPECTRAL+MULTIPLIERS Search SPECTRAL+MULTIPLIERS
3 HARDY SPACE 452866 10% 15% 155 Search HARDY+SPACE Search HARDY+SPACE
4 SPACE OF HOMOGENEOUS TYPE 404012 3% 51% 42 Search SPACE+OF+HOMOGENEOUS+TYPE Search SPACE+OF+HOMOGENEOUS+TYPE
5 REVERSE HOLDER CLASS 304177 1% 80% 20 Search REVERSE+HOLDER+CLASS Search REVERSE+HOLDER+CLASS
6 SPACES OF HOMOGENEOUS TYPE 276787 2% 47% 31 Search SPACES+OF+HOMOGENEOUS+TYPE Search SPACES+OF+HOMOGENEOUS+TYPE
7 CALDERON REPRODUCING FORMULA 267723 2% 54% 26 Search CALDERON+REPRODUCING+FORMULA Search CALDERON+REPRODUCING+FORMULA
8 DAVIES GAFFNEY ESTIMATE 248416 1% 93% 14 Search DAVIES+GAFFNEY+ESTIMATE Search DAVIES+GAFFNEY+ESTIMATE
9 MUSIELAK ORLICZ HARDY SPACE 247151 1% 100% 13 Search MUSIELAK+ORLICZ+HARDY+SPACE Search MUSIELAK+ORLICZ+HARDY+SPACE
10 ATOMIC DECOMPOSITION 235220 3% 25% 49 Search ATOMIC+DECOMPOSITION Search ATOMIC+DECOMPOSITION

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 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 47 84% 8
2 CHANG, DC , FU, ZW , YANG, DC , YANG, SB , (2016) REAL-VARIABLE CHARACTERIZATIONS OF MUSIELAK-ORLICZ-HARDY SPACES ASSOCIATED WITH SCHRODINGER OPERATORS ON DOMAINS.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 39. ISSUE 3. P. 533 -569 38 97% 0
3 HOFMANN, S , LU, GZ , MITREA, D , MITREA, M , YAN, LX , (2011) HARDY SPACES ASSOCIATED TO NON-NEGATIVE SELF-ADJOINT OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 214. ISSUE 1007. P. 1 -+ 38 95% 32
4 KUNSTMANN, PC , UHL, M , (2015) SPECTRAL MULTIPLIER THEOREMS OF HORMANDER TYPE ON HARDY AND LEBESGUE SPACES.JOURNAL OF OPERATOR THEORY. VOL. 73. ISSUE 1. P. 27 -69 33 94% 6
5 LIV, SY , SONG, L , (2016) THE ATOMIC DECOMPOSITION OF WEIGHTED HARDY SPACES ASSOCIATED TO SELF-ADJOINT OPERATORS ON PRODUCT SPACES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 443. ISSUE 1. P. 92 -115 33 100% 0
6 CAO, J , CHANG, DC , YANG, DC , YANG, SB , (2013) BOUNDEDNESS OF GENERALIZED RIESZ TRANSFORMS ON ORLICZ-HARDY SPACES ASSOCIATED TO OPERATORS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 76. ISSUE 2. P. 225 -283 34 92% 1
7 CAO, J , CHANG, DC , YANG, DC , YANG, SB , (2014) ESTIMATES FOR SECOND-ORDER RIESZ TRANSFORMS ASSOCIATED WITH MAGNETIC SCHRODINGER OPERATORS ON MUSIELAK-ORLICZ-HARDY SPACES.APPLICABLE ANALYSIS. VOL. 93. ISSUE 11. P. 2519 -2545 30 97% 1
8 CHEN, P , DUONG, XT , LI, J , WARD, LA , YAN, LX , (2017) MARCINKIEWICZ-TYPE SPECTRAL MULTIPLIERS ON HARDY AND LEBESGUE SPACES ON PRODUCT SPACES OF HOMOGENEOUS TYPE.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 23. ISSUE 1. P. 21 -64 29 91% 0
9 CAO, J , YANG, DC , (2012) HARDY SPACES (HLRN)-R-P) ASSOCIATED WITH OPERATORS SATISFYING K-DAVIES-GAFFNEY ESTIMATES.SCIENCE CHINA-MATHEMATICS. VOL. 55. ISSUE 7. P. 1403 -1440 30 88% 16
10 YANG, DC , ZHOU, Y , (2011) LOCALIZED HARDY SPACES H-1 RELATED TO ADMISSIBLE FUNCTIONS ON RD-SPACES AND APPLICATIONS TO SCHRODINGER OPERATORS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 363. ISSUE 3. P. 1197 -1239 28 93% 27

Classes with closest relation at Level 1


Rank Class id link
1 22203 JACOBI EXPANSION//RIESZ TRANSFORM//FOURIER BESSEL EXPANSIONS
2 8015 ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR
3 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
4 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY
5 11755 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
6 19236 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
7 11794 GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS
8 35743 CIRCUIT PROCESSES//ROTATIONAL REPRESENTATION OF STOCHASTIC MATRICES//AUTOMATIC TRANSISTOR SIZING
9 5583 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//HEISENBERG GROUP
10 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE

Go to start page