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Author ID: nakai.eiichi Recent zbMATH articles by "Nakai, Eiichi"
Published as: Nakai, Eiichi
Homepage: http://enakai.sci.ibaraki.ac.jp/
all top 5

Serials

9 Scientiae Mathematicae Japonicae
7 Revista Matemática Complutense
6 Mathematische Nachrichten
5 Studia Mathematica
5 Journal of the Mathematical Society of Japan
4 Taiwanese Journal of Mathematics
4 Mathematical Inequalities & Applications
4 Mathematical Journal of Ibaraki University
4 Journal of Function Spaces and Applications
3 Journal of Mathematical Analysis and Applications
3 Archiv der Mathematik
3 Hokkaido Mathematical Journal
3 Journal of Functional Analysis
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 RIMS Kokyuroku
3 RIMS Kôkyûroku Bessatsu
2 Hiroshima Mathematical Journal
2 Tokyo Journal of Mathematics
2 Banach Journal of Mathematical Analysis
2 Science China. Mathematics
1 Bulletin of the Australian Mathematical Society
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the Faculty of Science. Series A. Mathematics
1 Integral Equations and Operator Theory
1 Mathematica Japonica
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Tôhoku Mathematical Journal. Second Series
1 Statistics & Probability Letters
1 Sugaku Expositions
1 Aequationes Mathematicae
1 Georgian Mathematical Journal
1 Bulletin des Sciences Mathématiques
1 The Journal of Fourier Analysis and Applications
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Positivity
1 Scientiae Mathematicae
1 Acta Mathematica Sinica. English Series
1 Nihonkai Mathematical Journal
1 Complex Variables and Elliptic Equations
1 Analysis and Geometry in Metric Spaces
1 Linear and Nonlinear Analysis

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 2,218 times in 958 Documents Cited by Year
Hardy-Littlewood maximal operator, singular integral operators and the Riesz potentials on generalized Morrey spaces. Zbl 0837.42008
Nakai, Eiichi
285
1994
Hardy spaces with variable exponents and generalized Campanato spaces. Zbl 1244.42012
Nakai, Eiichi; Sawano, Yoshihiro
244
2012
Orlicz–Morrey spaces and the Hardy–Littlewood maximal function. Zbl 1163.46020
Nakai, Eiichi
93
2008
Generalized fractional integrals on Orlicz-Morrey spaces. Zbl 1118.42005
Nakai, Eiichi
81
2004
The Campanato, Morrey and Hölder spaces on spaces of homogeneous type. Zbl 1121.46031
Nakai, Eiichi
79
2006
Martingale Orlicz-Hardy spaces. Zbl 1260.60082
Miyamoto, Takashi; Nakai, Eiichi; Sadasue, Gaku
54
2012
On generalized fractional integrals. Zbl 0990.26007
Nakai, Eiichi
52
2001
Pointwise multipliers for functions of bounded mean oscillation. Zbl 0546.42019
Nakai, Eiichi; Yabuta, Kozo
49
1985
Orlicz-Hardy spaces and their duals. Zbl 1304.42060
Nakai, Eiichi; Sawano, Yoshihiro
49
2014
Characterizations of variable exponent Hardy spaces via Riesz transforms. Zbl 1337.42025
Yang, Dachun; Zhuo, Ciqiang; Nakai, Eiichi
48
2016
Function spaces with variable exponents – an introduction. Zbl 1344.46023
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
44
2014
Pointwise multipliers for functions of weighted bounded mean oscillation on spaces of homogeneous type. Zbl 0884.42010
Nakai, Eiichi; Yabuta, Kôzô
41
1997
Martingale Morrey-Campanato spaces and fractional integrals. Zbl 1254.46035
Nakai, Eiichi; Sadasue, Gaku
40
2012
Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials. Zbl 1200.26007
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
38
2010
Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents. Zbl 1228.31004
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
38
2011
Characterizations for the generalized fractional integral operators on Morrey spaces. Zbl 1298.42018
Eridani; Gunawan, Hendra; Nakai, Eiichi; Sawano, Yoshihiro
35
2014
Singular and fractional integral operators on Campanato spaces with variable growth conditions. Zbl 1206.42015
Nakai, Eiichi
33
2010
A characterization of pointwise multipliers on the Morrey spaces. Zbl 0980.42005
Nakai, Eiichi
29
2000
On generalized fractional integrals in the Orlicz spaces on spaces of homogeneous type. Zbl 1007.42013
Nakai, Eiichi
28
2001
On generalized fractional integral operators. Zbl 1058.42007
Eridani; Gunawan, Hendra; Nakai, Eiichi
25
2004
A generalization of Hardy spaces \(H^p\) by using atoms. Zbl 1153.42011
Nakai, Eiichi
25
2008
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind. Zbl 1440.42076
Deringoz, Fatih; Guliyev, Vagif S.; Nakai, Eiichi; Sawano, Yoshihiro; Shi, Minglei
24
2019
Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent. Zbl 1339.46027
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
24
2015
Pointwise multipliers for functions of weighted bounded mean oscillation. Zbl 0812.42008
Nakai, Eiichi
24
1993
Boundedness of intrinsic Littlewood-Paley functions on Musielak-Orlicz Morrey and Campanato spaces. Zbl 1280.42016
Liang, Yiyu; Nakai, Eiichi; Yang, Dachun; Zhang, Junqiang
23
2014
Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\). Zbl 1273.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
23
2012
On generalized Riesz potentials and spaces of some smooth functions. Zbl 0995.43004
Nakai, Eiichi; Sumitomo, Hironori
22
2001
Calderón–Zygmund operators on Orlicz–Morrey spaces and modular inequalities. Zbl 1163.46021
Nakai, Eiichi
22
2008
On generalized fractional integrals on the weak Orlicz spaces, BMO\(_\phi\), the Morrey spaces and the Campanato spaces. Zbl 1021.42006
Nakai, Eiichi
21
2002
Calderón-Zygmund operators on amalgam spaces and in the discrete case. Zbl 1125.43001
Kikuchi, Norio; Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô; Yoneda, Tsuyoshi
21
2007
An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces \(L^{1,\nu,\beta}(G)\). Zbl 1175.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
20
2008
Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces. Zbl 1335.42016
Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro
20
2016
Campanato-Morrey spaces for the double phase functionals with variable exponents. Zbl 1441.31004
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
20
2020
Integral operators on \(B_\sigma\)-Morrey-Campanato spaces. Zbl 1273.42023
Komori-Furuya, Yasuo; Matsuoka, Katsuo; Nakai, Eiichi; Sawano, Yoshihiro
19
2013
Generalized fractional integrals on generalized Morrey spaces. Zbl 1304.46027
Nakai, Eiichi
19
2014
Orlicz-Morrey spaces and their preduals. Zbl 1294.46028
Nakai, Eiichi
18
2011
Fractional integral operators on \(\mathbf{B^{p,\lambda}}\) with Morrey-Campanato norms. Zbl 1231.42021
Matsuoka, Katsuo; Nakai, Eiichi
17
2011
Recent topics of fractional integrals. Zbl 1246.26007
Nakai, Eiichi
17
2007
Maximal function on generalized martingale Lebesgue spaces with variable exponent. Zbl 1295.60052
Nakai, Eiichi; Sadasue, Gaku
17
2013
Martingale Morrey-Hardy and Campanato-Hardy spaces. Zbl 1298.46030
Nakai, Eiichi; Sadasue, Gaku; Sawano, Yoshihiro
17
2013
Commutators of Calderón-Zygmund and generalized fractional integral operators on generalized Morrey spaces. Zbl 1391.42013
Arai, Ryutaro; Nakai, Eiichi
17
2018
Campanato-Morrey spaces for the double phase functionals. Zbl 1452.31010
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
14
2020
\(B_w^u\)-function spaces and their interpolation. Zbl 1365.42016
Nakai, Eiichi; Sobukawa, Takuya
13
2016
Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition. Zbl 1395.42054
Nakai, Eiichi
13
2017
Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces. Zbl 1396.26014
Sihwaningrum, Idha; Gunawan, Hendra; Nakai, Eiichi
13
2018
Commutators of fractional integrals on martingale Morrey spaces. Zbl 1488.60115
Nakai, Eiichi; Sadasue, Gaku
12
2019
Pointwise multipliers of Orlicz spaces. Zbl 1211.46025
Maligranda, Lech; Nakai, Eiichi
12
2010
Density of the set of all infinitely differentiable functions with compact support in weighted Sobolev spaces. Zbl 1080.46019
Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô
12
2004
Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces. Zbl 1491.47038
Shi, Minglei; Arai, Ryutaro; Nakai, Eiichi
12
2019
Fractional integrals and their commutators on martingale Orlicz spaces. Zbl 1448.60094
Arai, Ryutaro; Nakai, Eiichi; Sadasue, Gaku
12
2020
Pointwise multipliers on Musielak-Orlicz-Morrey spaces. Zbl 1390.46034
Nakai, Eiichi
12
2017
Pointwise multipliers on several function spaces – a survey. Zbl 1375.42007
Nakai, Eiichi
11
2017
Some new properties concerning BLO martingales. Zbl 1372.60061
Nakai, Eiichi; Sadasue, Gaku
11
2017
Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces. Zbl 1246.46034
Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu
11
2012
Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials. Zbl 1269.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu
11
2013
Pointwise multipliers on weighted BMO spaces. Zbl 0874.42009
Nakai, Eiichi
11
1997
Pointwise multipliers on martingale Campanato spaces. Zbl 1301.46010
Nakai, Eiichi; Sadasue, Gaku
10
2014
Applications of Littlewood-Paley theory for \(\dot{B}_\sigma\)-Morrey spaces to the boundedness of integral operators. Zbl 1275.42036
Komori-Furuya, Yasuo; Matsuoka, Katsuo; Nakai, Eiichi; Sawano, Yoshihiro
10
2013
On generalized fractional integrals in the Orlicz spaces. Zbl 1058.26003
Nakai, Eiichi
9
2000
On inclusion relation between weak Morrey spaces and Morrey spaces. Zbl 1383.42021
Gunawan, Hendra; Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro
9
2018
Compact commutators of Calderón-Zygmund and generalized fractional integral operators with a function in generalized Campanato spaces on generalized Morrey spaces. Zbl 1508.42025
Arai, Ryutaro; Nakai, Eiichi
9
2019
Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces. Zbl 1455.42021
Shi, Minglei; Arai, Ryutaro; Nakai, Eiichi
9
2021
Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces. Zbl 1386.60162
Nakai, Eiichi; Sadasue, Gaku
9
2017
The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent. Zbl 1304.42048
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
8
2013
Atomic and wavelet characterization of Musielak-Orlicz Hardy spaces for generalized Orlicz functions. Zbl 1481.42028
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
8
2022
An extension of the characterization of CMO and its application to compact commutators on Morrey spaces. Zbl 1437.42031
Arai, Ryutaro; Nakai, Eiichi
8
2020
Pointwise multipliers on weak Orlicz spaces. Zbl 1464.46032
Kawasumi, Ryota; Nakai, Eiichi
8
2020
Generalized fractional integral operators on Orlicz-Hardy spaces. Zbl 1523.42019
Arai, Ryutaro; Nakai, Eiichi; Sawano, Yoshihiro
7
2021
Weighted Hardy inequalities with infinitely many sharp missing terms. Zbl 1312.35004
Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi
7
2014
Boundedness of Lusin-area and functions on localized BMO spaces over doubling metric measure spaces. Zbl 1220.42014
Lin, Haibo; Nakai, Eiichi; Yang, Dachun
7
2011
Generalized Stummel class and Morrey spaces. Zbl 1289.46048
Gunawan, Hendra; Nakai, Eiichi; Sawano, Yoshihiro; Tanaka, Hitoshi
7
2012
Pointwise multipliers on Musielak-Orlicz spaces. Zbl 1382.46019
Nakai, Eiichi
7
2016
Hardy spaces with variable exponent. Zbl 1307.42020
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
6
2013
Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations. Zbl 1221.35283
Nakai, Eiichi; Yoneda, Tsuyoshi
6
2011
On the restriction of functions of bounded mean oscillation to the lower dimensional space. Zbl 0586.46021
Nakai, Eiichi
5
1984
Boundedness of Lusin-area and \(g^{\ast}_\lambda\) functions on localized Morrey-Campanato spaces over doubling metric measure spaces. Zbl 1231.42017
Lin, Haibo; Nakai, Eiichi; Yang, Dachun
5
2011
Hardy’s inequality in Orlicz-Sobolev spaces of variable exponent. Zbl 1227.46023
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
5
2011
Estimates for Lusin-area and Littlewood-Paley \(g_\lambda^*\) functions over spaces of homogeneous type. Zbl 1183.42019
Meng, Yan; Nakai, Eiichi; Yang, Dachun
5
2010
Pointwise multipliers on Campanato spaces and Morrey spaces. Zbl 0938.46516
Nakai, Eiichi
4
1998
Weighted boundedness of the Hardy-Littlewood maximal and Calderón-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces. Zbl 1493.46047
Kawasumi, Ryota; Nakai, Eiichi
4
2021
Compactness of commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces. Zbl 1486.42040
Yamaguchi, Satoshi; Nakai, Eiichi
4
2022
Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation. Zbl 1425.46021
Nakai, Eiichi; Yoneda, Tsuyoshi
4
2019
Generalized fractional integral operators on Campanato spaces and their bi-preduals. Zbl 1491.42039
Yamaguchi, Satoshi; Nakai, Eiichi
3
2021
Construction of slowly increasing functions. Zbl 1276.26002
Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi
3
2012
Pointwise multipliers on weak Morrey spaces. Zbl 1475.42037
Kawasumi, Ryota; Nakai, Eiichi
3
2020
Pointwise multipliers on BMO spaces with non-doubling measures. Zbl 1401.42009
Li, Wei; Nakai, Eiichi; Yang, Dongyong
3
2018
Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces. Zbl 1523.42035
Kawasumi, Ryota; Nakai, Eiichi; Shi, Minglei
2
2023
Some properties of slowly increasing functions. Zbl 1309.26001
Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi
2
2014
Kuratsubo phenomenon of the Fourier series of some radial functions in four dimensions. Zbl 1503.42006
Ootsubo, Kazuya; Fujima, Shoici; Kuratsubo, Shigehiko; Nakai, Eiichi
2
2021
Singular integral operators on \(L_ k^{p,\Phi}\)-spaces. Zbl 0629.47029
Nakai, Eiichi
2
1987
Generalized Hardy identity and relations to Gibbs-Wilbraham and Pinsky phenomena. Zbl 1200.42004
Kuratsubo, Shigehiko; Nakai, Eiichi; Ootsubo, Kazuya
2
2010
Construction of an atomic decomposition for functions with compact support. Zbl 1084.42018
Nakai, Eiichi
2
2006
The Hardy and Heisenberg inequalities in Morrey spaces. Zbl 1408.42007
Gunawan, Hendra; Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro
2
2018
Bilinear estimates in dyadic BMO and the Navier-Stokes equations. Zbl 1251.35073
Nakai, Eiichi; Yoneda, Tsuyoshi
2
2012
Sobolev’s inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent. Zbl 1294.46037
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
2
2011
Complex interpolation of the predual of Morrey spaces over measure spaces. Zbl 1480.46031
Burenkov, Victor I.; Hakim, Denny I.; Nakai, Eiichi; Sawano, Yoshihiro; Sobukawa, Takuya; Tararykova, Tamara V.
2
2021
Multiple Fourier series and lattice point problems. Zbl 1481.42007
Kuratsubo, Shigehiko; Nakai, Eiichi
1
2022
Generalized fractional integral operators based on symmetric Markovian semigroups with application to the Heisenberg group. Zbl 07658408
Amagai, Kohei; Nakai, Eiichi; Sadasue, Gaku
1
2023
Biographical sketch of Professor Toshio Horiuchi. Zbl 1489.01032
Shimomura, Katsunori; Nakai, Eiichi
1
2021
Singular integral operators on \(L^{p,\Phi}\)-spaces. Zbl 0683.42018
Nakai, Eiichi; Yabuta, Kôzô
1
1988
Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces. Zbl 1523.42035
Kawasumi, Ryota; Nakai, Eiichi; Shi, Minglei
2
2023
Generalized fractional integral operators based on symmetric Markovian semigroups with application to the Heisenberg group. Zbl 07658408
Amagai, Kohei; Nakai, Eiichi; Sadasue, Gaku
1
2023
Atomic and wavelet characterization of Musielak-Orlicz Hardy spaces for generalized Orlicz functions. Zbl 1481.42028
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
8
2022
Compactness of commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces. Zbl 1486.42040
Yamaguchi, Satoshi; Nakai, Eiichi
4
2022
Multiple Fourier series and lattice point problems. Zbl 1481.42007
Kuratsubo, Shigehiko; Nakai, Eiichi
1
2022
Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces. Zbl 1455.42021
Shi, Minglei; Arai, Ryutaro; Nakai, Eiichi
9
2021
Generalized fractional integral operators on Orlicz-Hardy spaces. Zbl 1523.42019
Arai, Ryutaro; Nakai, Eiichi; Sawano, Yoshihiro
7
2021
Weighted boundedness of the Hardy-Littlewood maximal and Calderón-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces. Zbl 1493.46047
Kawasumi, Ryota; Nakai, Eiichi
4
2021
Generalized fractional integral operators on Campanato spaces and their bi-preduals. Zbl 1491.42039
Yamaguchi, Satoshi; Nakai, Eiichi
3
2021
Kuratsubo phenomenon of the Fourier series of some radial functions in four dimensions. Zbl 1503.42006
Ootsubo, Kazuya; Fujima, Shoici; Kuratsubo, Shigehiko; Nakai, Eiichi
2
2021
Complex interpolation of the predual of Morrey spaces over measure spaces. Zbl 1480.46031
Burenkov, Victor I.; Hakim, Denny I.; Nakai, Eiichi; Sawano, Yoshihiro; Sobukawa, Takuya; Tararykova, Tamara V.
2
2021
Biographical sketch of Professor Toshio Horiuchi. Zbl 1489.01032
Shimomura, Katsunori; Nakai, Eiichi
1
2021
Campanato-Morrey spaces for the double phase functionals with variable exponents. Zbl 1441.31004
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
20
2020
Campanato-Morrey spaces for the double phase functionals. Zbl 1452.31010
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
14
2020
Fractional integrals and their commutators on martingale Orlicz spaces. Zbl 1448.60094
Arai, Ryutaro; Nakai, Eiichi; Sadasue, Gaku
12
2020
An extension of the characterization of CMO and its application to compact commutators on Morrey spaces. Zbl 1437.42031
Arai, Ryutaro; Nakai, Eiichi
8
2020
Pointwise multipliers on weak Orlicz spaces. Zbl 1464.46032
Kawasumi, Ryota; Nakai, Eiichi
8
2020
Pointwise multipliers on weak Morrey spaces. Zbl 1475.42037
Kawasumi, Ryota; Nakai, Eiichi
3
2020
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind. Zbl 1440.42076
Deringoz, Fatih; Guliyev, Vagif S.; Nakai, Eiichi; Sawano, Yoshihiro; Shi, Minglei
24
2019
Commutators of fractional integrals on martingale Morrey spaces. Zbl 1488.60115
Nakai, Eiichi; Sadasue, Gaku
12
2019
Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces. Zbl 1491.47038
Shi, Minglei; Arai, Ryutaro; Nakai, Eiichi
12
2019
Compact commutators of Calderón-Zygmund and generalized fractional integral operators with a function in generalized Campanato spaces on generalized Morrey spaces. Zbl 1508.42025
Arai, Ryutaro; Nakai, Eiichi
9
2019
Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation. Zbl 1425.46021
Nakai, Eiichi; Yoneda, Tsuyoshi
4
2019
Generalized Campanato spaces with variable growth condition. Zbl 1432.42017
Nakai, Eiichi
1
2019
Commutators of Calderón-Zygmund and generalized fractional integral operators on generalized Morrey spaces. Zbl 1391.42013
Arai, Ryutaro; Nakai, Eiichi
17
2018
Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces. Zbl 1396.26014
Sihwaningrum, Idha; Gunawan, Hendra; Nakai, Eiichi
13
2018
On inclusion relation between weak Morrey spaces and Morrey spaces. Zbl 1383.42021
Gunawan, Hendra; Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro
9
2018
Pointwise multipliers on BMO spaces with non-doubling measures. Zbl 1401.42009
Li, Wei; Nakai, Eiichi; Yang, Dongyong
3
2018
The Hardy and Heisenberg inequalities in Morrey spaces. Zbl 1408.42007
Gunawan, Hendra; Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro
2
2018
Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition. Zbl 1395.42054
Nakai, Eiichi
13
2017
Pointwise multipliers on Musielak-Orlicz-Morrey spaces. Zbl 1390.46034
Nakai, Eiichi
12
2017
Pointwise multipliers on several function spaces – a survey. Zbl 1375.42007
Nakai, Eiichi
11
2017
Some new properties concerning BLO martingales. Zbl 1372.60061
Nakai, Eiichi; Sadasue, Gaku
11
2017
Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces. Zbl 1386.60162
Nakai, Eiichi; Sadasue, Gaku
9
2017
Characterizations of variable exponent Hardy spaces via Riesz transforms. Zbl 1337.42025
Yang, Dachun; Zhuo, Ciqiang; Nakai, Eiichi
48
2016
Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces. Zbl 1335.42016
Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro
20
2016
\(B_w^u\)-function spaces and their interpolation. Zbl 1365.42016
Nakai, Eiichi; Sobukawa, Takuya
13
2016
Pointwise multipliers on Musielak-Orlicz spaces. Zbl 1382.46019
Nakai, Eiichi
7
2016
Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent. Zbl 1339.46027
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
24
2015
Orlicz-Hardy spaces and their duals. Zbl 1304.42060
Nakai, Eiichi; Sawano, Yoshihiro
49
2014
Function spaces with variable exponents – an introduction. Zbl 1344.46023
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
44
2014
Characterizations for the generalized fractional integral operators on Morrey spaces. Zbl 1298.42018
Eridani; Gunawan, Hendra; Nakai, Eiichi; Sawano, Yoshihiro
35
2014
Boundedness of intrinsic Littlewood-Paley functions on Musielak-Orlicz Morrey and Campanato spaces. Zbl 1280.42016
Liang, Yiyu; Nakai, Eiichi; Yang, Dachun; Zhang, Junqiang
23
2014
Generalized fractional integrals on generalized Morrey spaces. Zbl 1304.46027
Nakai, Eiichi
19
2014
Pointwise multipliers on martingale Campanato spaces. Zbl 1301.46010
Nakai, Eiichi; Sadasue, Gaku
10
2014
Weighted Hardy inequalities with infinitely many sharp missing terms. Zbl 1312.35004
Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi
7
2014
Some properties of slowly increasing functions. Zbl 1309.26001
Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi
2
2014
Integral operators on \(B_\sigma\)-Morrey-Campanato spaces. Zbl 1273.42023
Komori-Furuya, Yasuo; Matsuoka, Katsuo; Nakai, Eiichi; Sawano, Yoshihiro
19
2013
Maximal function on generalized martingale Lebesgue spaces with variable exponent. Zbl 1295.60052
Nakai, Eiichi; Sadasue, Gaku
17
2013
Martingale Morrey-Hardy and Campanato-Hardy spaces. Zbl 1298.46030
Nakai, Eiichi; Sadasue, Gaku; Sawano, Yoshihiro
17
2013
Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials. Zbl 1269.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu
11
2013
Applications of Littlewood-Paley theory for \(\dot{B}_\sigma\)-Morrey spaces to the boundedness of integral operators. Zbl 1275.42036
Komori-Furuya, Yasuo; Matsuoka, Katsuo; Nakai, Eiichi; Sawano, Yoshihiro
10
2013
The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent. Zbl 1304.42048
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
8
2013
Hardy spaces with variable exponent. Zbl 1307.42020
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro
6
2013
Hardy spaces with variable exponents and generalized Campanato spaces. Zbl 1244.42012
Nakai, Eiichi; Sawano, Yoshihiro
244
2012
Martingale Orlicz-Hardy spaces. Zbl 1260.60082
Miyamoto, Takashi; Nakai, Eiichi; Sadasue, Gaku
54
2012
Martingale Morrey-Campanato spaces and fractional integrals. Zbl 1254.46035
Nakai, Eiichi; Sadasue, Gaku
40
2012
Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\). Zbl 1273.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
23
2012
Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces. Zbl 1246.46034
Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu
11
2012
Generalized Stummel class and Morrey spaces. Zbl 1289.46048
Gunawan, Hendra; Nakai, Eiichi; Sawano, Yoshihiro; Tanaka, Hitoshi
7
2012
Construction of slowly increasing functions. Zbl 1276.26002
Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi
3
2012
Bilinear estimates in dyadic BMO and the Navier-Stokes equations. Zbl 1251.35073
Nakai, Eiichi; Yoneda, Tsuyoshi
2
2012
Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents. Zbl 1228.31004
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
38
2011
Orlicz-Morrey spaces and their preduals. Zbl 1294.46028
Nakai, Eiichi
18
2011
Fractional integral operators on \(\mathbf{B^{p,\lambda}}\) with Morrey-Campanato norms. Zbl 1231.42021
Matsuoka, Katsuo; Nakai, Eiichi
17
2011
Boundedness of Lusin-area and functions on localized BMO spaces over doubling metric measure spaces. Zbl 1220.42014
Lin, Haibo; Nakai, Eiichi; Yang, Dachun
7
2011
Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations. Zbl 1221.35283
Nakai, Eiichi; Yoneda, Tsuyoshi
6
2011
Boundedness of Lusin-area and \(g^{\ast}_\lambda\) functions on localized Morrey-Campanato spaces over doubling metric measure spaces. Zbl 1231.42017
Lin, Haibo; Nakai, Eiichi; Yang, Dachun
5
2011
Hardy’s inequality in Orlicz-Sobolev spaces of variable exponent. Zbl 1227.46023
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
5
2011
Sobolev’s inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent. Zbl 1294.46037
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
2
2011
Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials. Zbl 1200.26007
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
38
2010
Singular and fractional integral operators on Campanato spaces with variable growth conditions. Zbl 1206.42015
Nakai, Eiichi
33
2010
Pointwise multipliers of Orlicz spaces. Zbl 1211.46025
Maligranda, Lech; Nakai, Eiichi
12
2010
Estimates for Lusin-area and Littlewood-Paley \(g_\lambda^*\) functions over spaces of homogeneous type. Zbl 1183.42019
Meng, Yan; Nakai, Eiichi; Yang, Dachun
5
2010
Generalized Hardy identity and relations to Gibbs-Wilbraham and Pinsky phenomena. Zbl 1200.42004
Kuratsubo, Shigehiko; Nakai, Eiichi; Ootsubo, Kazuya
2
2010
Construction of solutions for the initial value problem of a functional-differential equation of advanced type. Zbl 1204.34086
Nakai, Eiichi; Yoneda, Tsuyoshi
1
2009
Orlicz–Morrey spaces and the Hardy–Littlewood maximal function. Zbl 1163.46020
Nakai, Eiichi
93
2008
A generalization of Hardy spaces \(H^p\) by using atoms. Zbl 1153.42011
Nakai, Eiichi
25
2008
Calderón–Zygmund operators on Orlicz–Morrey spaces and modular inequalities. Zbl 1163.46021
Nakai, Eiichi
22
2008
An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces \(L^{1,\nu,\beta}(G)\). Zbl 1175.31005
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu
20
2008
Calderón-Zygmund operators on amalgam spaces and in the discrete case. Zbl 1125.43001
Kikuchi, Norio; Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô; Yoneda, Tsuyoshi
21
2007
Recent topics of fractional integrals. Zbl 1246.26007
Nakai, Eiichi
17
2007
The Campanato, Morrey and Hölder spaces on spaces of homogeneous type. Zbl 1121.46031
Nakai, Eiichi
79
2006
Construction of an atomic decomposition for functions with compact support. Zbl 1084.42018
Nakai, Eiichi
2
2006
Harmonic analysis and its applications. Proceedings of the international conference on harmonic analysis and its applications, Osaka, Japan, November 15–17, 2004. Zbl 1089.43001
1
2006
Generalized fractional integrals on Orlicz-Morrey spaces. Zbl 1118.42005
Nakai, Eiichi
81
2004
On generalized fractional integral operators. Zbl 1058.42007
Eridani; Gunawan, Hendra; Nakai, Eiichi
25
2004
Density of the set of all infinitely differentiable functions with compact support in weighted Sobolev spaces. Zbl 1080.46019
Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô
12
2004
Tangential boundary behavior of the Poisson integrals of functions in the potential space with the Orlicz norm. Zbl 1058.31004
Nakai, Eiichi; Okamoto, Shigeo
1
2004
On generalized fractional integrals on the weak Orlicz spaces, BMO\(_\phi\), the Morrey spaces and the Campanato spaces. Zbl 1021.42006
Nakai, Eiichi
21
2002
The square partial sums of the Fourier transform of radial functions in three dimensions. Zbl 1012.42004
Harada, Chikako; Nakai, Eiichi
1
2002
On generalized fractional integrals. Zbl 0990.26007
Nakai, Eiichi
52
2001
On generalized fractional integrals in the Orlicz spaces on spaces of homogeneous type. Zbl 1007.42013
Nakai, Eiichi
28
2001
On generalized Riesz potentials and spaces of some smooth functions. Zbl 0995.43004
Nakai, Eiichi; Sumitomo, Hironori
22
2001
Generalized fractional integrals. Zbl 0985.42500
Nakai, Eiichi
1
2001
A characterization of pointwise multipliers on the Morrey spaces. Zbl 0980.42005
Nakai, Eiichi
29
2000
On generalized fractional integrals in the Orlicz spaces. Zbl 1058.26003
Nakai, Eiichi
9
2000
On generalized fractional integrals. Zbl 0968.26500
Nakai, Eiichi
1
2000
Pointwise multipliers on Campanato spaces and Morrey spaces. Zbl 0938.46516
Nakai, Eiichi
4
1998
Pointwise multipliers for functions of weighted bounded mean oscillation on spaces of homogeneous type. Zbl 0884.42010
Nakai, Eiichi; Yabuta, Kôzô
41
1997
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Cited by 625 Authors

111 Yang, Dachun
81 Guliyev, Vagif Sabir
76 Shimomura, Tetsu
75 Sawano, Yoshihiro
53 Yuan, Wen
48 Ho, Kwok-Pun
48 Nakai, Eiichi
47 Mizuta, Yoshihiro
46 Ohno, Takao
23 Weisz, Ferenc
21 Xu, Jingshi
19 Deringoz, Fatih
18 Jiao, Yong
18 Samko, Natasha
18 Samko, Stefan Grigor’evich
17 Hakim, Denny Ivanal
16 Gunawan, Hendra
16 Zhang, Yangyang
16 Zhuo, Ciqiang
14 Lu, Guanghui
14 Softova, Lubomira G.
14 Yang, Sibei
14 Zhou, Dejian
13 Izuki, Mitsuo
12 Burenkov, Viktor Ivanovich
12 Hao, Zhiwei
12 Noi, Takahiro
12 Serbetci, Ayhan
12 Tan, Jian
11 Akbulut, Ali
11 Liu, Liguang
11 Wang, Hongbin
11 Wang, Liwei
11 Xie, Guangheng
10 Hasanov, Javanshir J.
10 Liu, Jun
10 Maeda, Fumiyuki
10 Matsuoka, Katsuo
10 Tanaka, Hitoshi
9 Ekincioglu, Ismail
9 Fu, Xing
9 He, Ziyi
9 Ky, Luong Dang
9 Li, Libo
9 Omarova, Mehriban N.
9 Tao, Shuangping
9 Wu, Lian
8 Fu, Zunwei
7 Almeida, Alexandre
7 Arai, Ryutaro
7 Bonami, Aline
7 Cao, Jun
7 Hasanov, Sabir G.
7 Huang, Long
7 Kawasumi, Ryota
7 Li, Baode
7 Nogayama, Toru
7 Ragusa, Maria Alessandra
7 Wang, Fan
7 Zhao, Jiman
6 Chang, Der-Chen E.
6 Jia, Hongchao
6 Kucukaslan, Abdulhamit
6 Liang, YiYu
6 Liu, Xiong
6 Maligranda, Lech
6 Meskhi, Alexander
6 Rosenthal, Marcel
6 Sadasue, Gaku
6 Saibi, Khedoudj
6 Tao, Jin
6 Wang, Shengrong
6 Yan, Xianjie
6 Yee, Tat-Leung
5 Aykol, Canay
5 Burtseva, Evgeniya
5 Ghorbanalizadeh, Arash M.
5 Górka, Przemysław
5 Gürbüz, Ferit
5 Horiuchi, Toshio
5 Leśnik, Karol
5 Lin, Haibo
5 Mustafayev, Rza Ch.
5 Nakamura, Shohei
5 Peng, Lihua
5 Persson, Lars-Erik
5 Rafeiro, Humberto
5 Rocha, Pablo Alejandro
5 Tumalun, Nicky K.
5 Wang, Hua
5 Wang, Songbai
5 Wang, Wenhua
5 Yang, Dongyong
5 Yu, Lin
5 Yu, Xiao
4 Ahmadli, Aysel A.
4 Betancor Perez, Jorge Juan
4 Cruz-Uribe, David Vincente
4 Eroglu, Ahmet
4 Gogatishvili, Amiran
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Cited in 201 Serials

40 Journal of Mathematical Analysis and Applications
32 Mathematische Nachrichten
30 Journal of Function Spaces
27 Banach Journal of Mathematical Analysis
26 Journal of Inequalities and Applications
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21 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Positivity
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17 Revista Matemática Complutense
16 Journal of Functional Analysis
16 Mathematical Inequalities & Applications
15 Acta Mathematica Hungarica
15 Fractional Calculus & Applied Analysis
15 Mediterranean Journal of Mathematics
14 Georgian Mathematical Journal
14 Journal of Mathematical Inequalities
13 Potential Analysis
13 Acta Mathematica Sinica. English Series
13 Complex Variables and Elliptic Equations
12 Annales Academiae Scientiarum Fennicae. Mathematica
12 Analysis and Mathematical Physics
11 Journal of Function Spaces and Applications
10 Kyoto Journal of Mathematics
9 Czechoslovak Mathematical Journal
9 Forum Mathematicum
9 Annals of Functional Analysis
9 Eurasian Mathematical Journal
9 Open Mathematics
8 Mathematical Notes
8 Taiwanese Journal of Mathematics
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Integral Equations and Operator Theory
7 Journal of the Mathematical Society of Japan
7 Proceedings of the American Mathematical Society
7 Results in Mathematics
7 Bulletin of the Korean Mathematical Society
7 Journal of Mathematical Sciences (New York)
6 Mathematical Methods in the Applied Sciences
6 Collectanea Mathematica
6 Transactions of the American Mathematical Society
6 Zeitschrift für Analysis und ihre Anwendungen
6 Journal of Pseudo-Differential Operators and Applications
6 Analysis and Geometry in Metric Spaces
5 Studia Mathematica
5 Canadian Mathematical Bulletin
5 Tôhoku Mathematical Journal. Second Series
5 Statistics & Probability Letters
5 Integral Transforms and Special Functions
5 Abstract and Applied Analysis
5 Boundary Value Problems
5 Frontiers of Mathematics in China
5 Transactions of A. Razmadze Mathematical Institute
4 Mathematische Annalen
4 Mathematische Zeitschrift
4 Nagoya Mathematical Journal
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Tokyo Journal of Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Bulletin des Sciences Mathématiques
4 Complex Analysis and Operator Theory
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 TWMS Journal of Pure and Applied Mathematics
4 Azerbaijan Journal of Mathematics
4 Advances in Operator Theory
3 Analysis Mathematica
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3 Rocky Mountain Journal of Mathematics
3 Ukrainian Mathematical Journal
3 Archiv der Mathematik
3 Dissertationes Mathematicae
3 Journal of Differential Equations
3 Matematički Vesnik
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Chinese Annals of Mathematics. Series B
3 Constructive Approximation
3 Sugaku Expositions
3 Applied Mathematics. Series B (English Edition)
3 Calculus of Variations and Partial Differential Equations
3 Turkish Journal of Mathematics
3 Doklady Mathematics
3 Mathematical Journal of Ibaraki University
3 Journal of the Australian Mathematical Society
3 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
3 Journal of the Indonesian Mathematical Society
3 Tbilisi Mathematical Journal
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Afrika Matematika
3 Advanced Studies: Euro-Tbilisi Mathematical Journal
2 Indian Journal of Pure & Applied Mathematics
2 Journal d’Analyse Mathématique
2 Periodica Mathematica Hungarica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
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