Edit Profile (opens in new tab) Nakai, Eiichi Compute Distance To: Compute Author ID: nakai.eiichi Published as: Nakai, Eiichi Homepage: http://enakai.sci.ibaraki.ac.jp/ Documents Indexed: 104 Publications since 1984 1 Contribution as Editor Co-Authors: 46 Co-Authors with 77 Joint Publications 1,031 Co-Co-Authors all top 5 Co-Authors 28 single-authored 19 Sawano, Yoshihiro 10 Mizuta, Yoshihiro 10 Sadasue, Gaku 10 Shimomura, Tetsu 8 Ohno, Takao 6 Arai, Ryutaro 6 Gunawan, Hendra 5 Izuki, Mitsuo 5 Yabuta, Kôzô 5 Yang, Dachun 5 Yoneda, Tsuyoshi 4 Hakim, Denny Ivanal 3 Ando, Hiroshi 3 Horiuchi, Toshio 3 Kawasumi, Ryota 3 Kuratsubo, Shigehiko 3 Matsuoka, Katsuo 3 Shi, Minglei 2 Komori-Furuya, Yasuo 2 Lin, Haibo 2 Ootsubo, Kazuya 2 Sobukawa, Takuya 2 Tomita, Naohito 2 Yamaguchi, Satoshi 1 Amagai, Kohei 1 Burenkov, Viktor Ivanovich 1 Deringoz, Fatih 1 Fujima, Shoici 1 Guliyev, Vagif Sabir 1 Harada, Chikako 1 Kikuchi, Norio 1 Li, Wei 1 Liang, YiYu 1 Maligranda, Lech 1 Meng, Yan 1 Miyachi, Akihiko 1 Miyamoto, Takashi 1 Okada, Masami 1 Okamoto, Shigeo 1 Shimomura, Katsunori 1 Sihwaningrum, Idha 1 Sumitomo, Hironori 1 Tanaka, Hitoshi 1 Yang, Dongyong 1 Zhang, Junqiang 1 Zhuo, Ciqiang all top 5 Serials 9 Scientiae Mathematicae Japonicae 7 Revista Matemática Complutense 5 Studia Mathematica 5 Journal of the Mathematical Society of Japan 4 Mathematische Nachrichten 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 all top 5 Fields 78 Harmonic analysis on Euclidean spaces (42-XX) 77 Functional analysis (46-XX) 25 Real functions (26-XX) 9 Operator theory (47-XX) 9 Probability theory and stochastic processes (60-XX) 8 Potential theory (31-XX) 8 Abstract harmonic analysis (43-XX) 4 Partial differential equations (35-XX) 2 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 1,652 times in 790 Documents Cited by ▼ Year ▼ Hardy-Littlewood maximal operator, singular integral operators and the Riesz potentials on generalized Morrey spaces. Zbl 0837.42008Nakai, Eiichi 244 1994 Hardy spaces with variable exponents and generalized Campanato spaces. Zbl 1244.42012Nakai, Eiichi; Sawano, Yoshihiro 202 2012 Orlicz–Morrey spaces and the Hardy–Littlewood maximal function. Zbl 1163.46020Nakai, Eiichi 81 2008 The Campanato, Morrey and Hölder spaces on spaces of homogeneous type. Zbl 1121.46031Nakai, Eiichi 64 2006 Generalized fractional integrals on Orlicz-Morrey spaces. Zbl 1118.42005Nakai, Eiichi 64 2004 Pointwise multipliers for functions of bounded mean oscillation. Zbl 0546.42019Nakai, Eiichi; Yabuta, Kozo 43 1985 Martingale Orlicz-Hardy spaces. Zbl 1260.60082Miyamoto, Takashi; Nakai, Eiichi; Sadasue, Gaku 42 2012 Characterizations of variable exponent Hardy spaces via Riesz transforms. Zbl 1337.42025Yang, Dachun; Zhuo, Ciqiang; Nakai, Eiichi 42 2016 Orlicz-Hardy spaces and their duals. Zbl 1304.42060Nakai, Eiichi; Sawano, Yoshihiro 42 2014 On generalized fractional integrals. Zbl 0990.26007Nakai, Eiichi 41 2001 Martingale Morrey-Campanato spaces and fractional integrals. Zbl 1254.46035Nakai, Eiichi; Sadasue, Gaku 34 2012 Function spaces with variable exponents – an introduction. Zbl 1344.46023Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro 34 2014 Characterizations for the generalized fractional integral operators on Morrey spaces. Zbl 1298.42018Eridani; Gunawan, Hendra; Nakai, Eiichi; Sawano, Yoshihiro 31 2014 Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents. Zbl 1228.31004Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 30 2011 Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials. Zbl 1200.26007Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 28 2010 Pointwise multipliers for functions of weighted bounded mean oscillation on spaces of homogeneous type. Zbl 0884.42010Nakai, Eiichi; Yabuta, Kôzô 27 1997 Singular and fractional integral operators on Campanato spaces with variable growth conditions. Zbl 1206.42015Nakai, Eiichi 24 2010 A characterization of pointwise multipliers on the Morrey spaces. Zbl 0980.42005Nakai, Eiichi 23 2000 On generalized fractional integral operators. Zbl 1058.42007Eridani; Gunawan, Hendra; Nakai, Eiichi 22 2004 Pointwise multipliers for functions of weighted bounded mean oscillation. Zbl 0812.42008Nakai, Eiichi 20 1993 A generalization of Hardy spaces \(H^p\) by using atoms. Zbl 1153.42011Nakai, Eiichi 20 2008 On generalized Riesz potentials and spaces of some smooth functions. Zbl 0995.43004Nakai, Eiichi; Sumitomo, Hironori 19 2001 On generalized fractional integrals in the Orlicz spaces on spaces of homogeneous type. Zbl 1007.42013Nakai, Eiichi 19 2001 Boundedness of intrinsic Littlewood-Paley functions on Musielak-Orlicz Morrey and Campanato spaces. Zbl 1280.42016Liang, Yiyu; Nakai, Eiichi; Yang, Dachun; Zhang, Junqiang 18 2014 Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\). Zbl 1273.31005Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 17 2012 Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent. Zbl 1339.46027Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro 17 2015 Generalized fractional integrals on generalized Morrey spaces. Zbl 1304.46027Nakai, Eiichi 16 2014 Integral operators on \(B_\sigma\)-Morrey-Campanato spaces. Zbl 1273.42023Komori-Furuya, Yasuo; Matsuoka, Katsuo; Nakai, Eiichi; Sawano, Yoshihiro 15 2013 Calderón–Zygmund operators on Orlicz–Morrey spaces and modular inequalities. Zbl 1163.46021Nakai, Eiichi 15 2008 Recent topics of fractional integrals. Zbl 1246.26007Nakai, Eiichi 15 2007 An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces \(L^{1,\nu,\beta}(G)\). Zbl 1175.31005Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 14 2008 Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces. Zbl 1335.42016Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro 14 2016 Orlicz-Morrey spaces and their preduals. Zbl 1294.46028Nakai, Eiichi 13 2011 Martingale Morrey-Hardy and Campanato-Hardy spaces. Zbl 1298.46030Nakai, Eiichi; Sadasue, Gaku; Sawano, Yoshihiro 13 2013 \(B_w^u\)-function spaces and their interpolation. Zbl 1365.42016Nakai, Eiichi; Sobukawa, Takuya 12 2016 Maximal function on generalized martingale Lebesgue spaces with variable exponent. Zbl 1295.60052Nakai, Eiichi; Sadasue, Gaku 12 2013 Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind. Zbl 1440.42076Deringoz, Fatih; Guliyev, Vagif S.; Nakai, Eiichi; Sawano, Yoshihiro; Shi, Minglei 11 2019 Pointwise multipliers of Orlicz spaces. Zbl 1211.46025Maligranda, Lech; Nakai, Eiichi 11 2010 Fractional integral operators on \(\mathbf{B^{p,\lambda}}\) with Morrey-Campanato norms. Zbl 1231.42021Matsuoka, Katsuo; Nakai, Eiichi 11 2011 Commutators of Calderón-Zygmund and generalized fractional integral operators on generalized Morrey spaces. Zbl 1391.42013Arai, Ryutaro; Nakai, Eiichi 10 2018 Calderón-Zygmund operators on amalgam spaces and in the discrete case. Zbl 1125.43001Kikuchi, Norio; Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô; Yoneda, Tsuyoshi 10 2007 On generalized fractional integrals on the weak Orlicz spaces, BMO\(_\phi\), the Morrey spaces and the Campanato spaces. Zbl 1021.42006Nakai, Eiichi 10 2002 Density of the set of all infinitely differentiable functions with compact support in weighted Sobolev spaces. Zbl 1080.46019Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô 9 2004 Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces. Zbl 1396.26014Sihwaningrum, Idha; Gunawan, Hendra; Nakai, Eiichi 9 2018 Pointwise multipliers on weighted BMO spaces. Zbl 0874.42009Nakai, Eiichi 9 1997 Pointwise multipliers on several function spaces – a survey. Zbl 1375.42007Nakai, Eiichi 8 2017 Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition. Zbl 1395.42054Nakai, Eiichi 8 2017 Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces. Zbl 1246.46034Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu 8 2012 Campanato-Morrey spaces for the double phase functionals with variable exponents. Zbl 1441.31004Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 7 2020 Campanato-Morrey spaces for the double phase functionals. Zbl 1452.31010Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 7 2020 Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials. Zbl 1269.31005Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu 7 2013 The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent. Zbl 1304.42048Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro 7 2013 Some new properties concerning BLO martingales. Zbl 1372.60061Nakai, Eiichi; Sadasue, Gaku 6 2017 Weighted Hardy inequalities with infinitely many sharp missing terms. Zbl 1312.35004Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi 6 2014 Pointwise multipliers on Musielak-Orlicz-Morrey spaces. Zbl 1390.46034Nakai, Eiichi 6 2017 Generalized Stummel class and Morrey spaces. Zbl 1289.46048Gunawan, Hendra; Nakai, Eiichi; Sawano, Yoshihiro; Tanaka, Hitoshi 6 2012 Boundedness of Lusin-area and functions on localized BMO spaces over doubling metric measure spaces. Zbl 1220.42014Lin, Haibo; Nakai, Eiichi; Yang, Dachun 6 2011 Commutators of fractional integrals on martingale Morrey spaces. Zbl 1488.60115Nakai, Eiichi; Sadasue, Gaku 5 2019 Fractional integrals and their commutators on martingale Orlicz spaces. Zbl 1448.60094Arai, Ryutaro; Nakai, Eiichi; Sadasue, Gaku 5 2020 Compact commutators of Calderón-Zygmund and generalized fractional integral operators with a function in generalized Campanato spaces on generalized Morrey spaces. Zbl 07209630Arai, Ryutaro; Nakai, Eiichi 5 2019 Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces. Zbl 1491.47038Shi, Minglei; Arai, Ryutaro; Nakai, Eiichi 5 2019 Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces. Zbl 1386.60162Nakai, Eiichi; Sadasue, Gaku 5 2017 Pointwise multipliers on Musielak-Orlicz spaces. Zbl 1382.46019Nakai, Eiichi 5 2016 Pointwise multipliers on martingale Campanato spaces. Zbl 1301.46010Nakai, Eiichi; Sadasue, Gaku 5 2014 On generalized fractional integrals in the Orlicz spaces. Zbl 1058.26003Nakai, Eiichi 5 2000 Applications of Littlewood-Paley theory for \(\dot{B}_\sigma\)-Morrey spaces to the boundedness of integral operators. Zbl 1275.42036Komori-Furuya, Yasuo; Matsuoka, Katsuo; Nakai, Eiichi; Sawano, Yoshihiro 5 2013 Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations. Zbl 1221.35283Nakai, Eiichi; Yoneda, Tsuyoshi 4 2011 An extension of the characterization of CMO and its application to compact commutators on Morrey spaces. Zbl 1437.42031Arai, Ryutaro; Nakai, Eiichi 4 2020 On the restriction of functions of bounded mean oscillation to the lower dimensional space. Zbl 0586.46021Nakai, Eiichi 4 1984 Boundedness of Lusin-area and \(g^{\ast}_\lambda\) functions on localized Morrey-Campanato spaces over doubling metric measure spaces. Zbl 1231.42017Lin, Haibo; Nakai, Eiichi; Yang, Dachun 4 2011 Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces. Zbl 1455.42021Shi, Minglei; Arai, Ryutaro; Nakai, Eiichi 3 2021 On inclusion relation between weak Morrey spaces and Morrey spaces. Zbl 1383.42021Gunawan, Hendra; Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro 3 2018 Estimates for Lusin-area and Littlewood-Paley \(g_\lambda^*\) functions over spaces of homogeneous type. Zbl 1183.42019Meng, Yan; Nakai, Eiichi; Yang, Dachun 3 2010 Hardy’s inequality in Orlicz-Sobolev spaces of variable exponent. Zbl 1227.46023Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 3 2011 Hardy spaces with variable exponent. Zbl 1307.42020Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro 3 2013 Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation. Zbl 1425.46021Nakai, Eiichi; Yoneda, Tsuyoshi 2 2019 Construction of slowly increasing functions. Zbl 1276.26002Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi 2 2012 Weighted boundedness of the Hardy-Littlewood maximal and Calderón-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces. Zbl 1493.46047Kawasumi, Ryota; Nakai, Eiichi 2 2021 Bilinear estimates in dyadic BMO and the Navier-Stokes equations. Zbl 1251.35073Nakai, Eiichi; Yoneda, Tsuyoshi 1 2012 Pointwise multipliers on weak Morrey spaces. Zbl 1475.42037Kawasumi, Ryota; Nakai, Eiichi 1 2020 Pointwise multipliers on weak Orlicz spaces. Zbl 1464.46032Kawasumi, Ryota; Nakai, Eiichi 1 2020 Some properties of slowly increasing functions. Zbl 1309.26001Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi 1 2014 Generalized Hardy identity and relations to Gibbs-Wilbraham and Pinsky phenomena. Zbl 1200.42004Kuratsubo, Shigehiko; Nakai, Eiichi; Ootsubo, Kazuya 1 2010 Singular integral operators on \(L_ k^{p,\Phi}\)-spaces. Zbl 0629.47029Nakai, Eiichi 1 1987 Construction of an atomic decomposition for functions with compact support. Zbl 1084.42018Nakai, Eiichi 1 2006 Sobolev’s inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent. Zbl 1294.46037Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 1 2011 Pointwise multipliers on Campanato spaces and Morrey spaces. Zbl 0938.46516Nakai, Eiichi 1 1998 Compactness of commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces. Zbl 1486.42040Yamaguchi, Satoshi; Nakai, Eiichi 1 2022 Generalized fractional integral operators on Campanato spaces and their bi-preduals. Zbl 1491.42039Yamaguchi, Satoshi; Nakai, Eiichi 1 2021 Compactness of commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces. Zbl 1486.42040Yamaguchi, Satoshi; Nakai, Eiichi 1 2022 Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces. Zbl 1455.42021Shi, Minglei; Arai, Ryutaro; Nakai, Eiichi 3 2021 Weighted boundedness of the Hardy-Littlewood maximal and Calderón-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces. Zbl 1493.46047Kawasumi, Ryota; Nakai, Eiichi 2 2021 Generalized fractional integral operators on Campanato spaces and their bi-preduals. Zbl 1491.42039Yamaguchi, Satoshi; Nakai, Eiichi 1 2021 Campanato-Morrey spaces for the double phase functionals with variable exponents. Zbl 1441.31004Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 7 2020 Campanato-Morrey spaces for the double phase functionals. Zbl 1452.31010Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 7 2020 Fractional integrals and their commutators on martingale Orlicz spaces. Zbl 1448.60094Arai, Ryutaro; Nakai, Eiichi; Sadasue, Gaku 5 2020 An extension of the characterization of CMO and its application to compact commutators on Morrey spaces. Zbl 1437.42031Arai, Ryutaro; Nakai, Eiichi 4 2020 Pointwise multipliers on weak Morrey spaces. Zbl 1475.42037Kawasumi, Ryota; Nakai, Eiichi 1 2020 Pointwise multipliers on weak Orlicz spaces. Zbl 1464.46032Kawasumi, Ryota; Nakai, Eiichi 1 2020 Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind. Zbl 1440.42076Deringoz, Fatih; Guliyev, Vagif S.; Nakai, Eiichi; Sawano, Yoshihiro; Shi, Minglei 11 2019 Commutators of fractional integrals on martingale Morrey spaces. Zbl 1488.60115Nakai, Eiichi; Sadasue, Gaku 5 2019 Compact commutators of Calderón-Zygmund and generalized fractional integral operators with a function in generalized Campanato spaces on generalized Morrey spaces. Zbl 07209630Arai, Ryutaro; Nakai, Eiichi 5 2019 Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces. Zbl 1491.47038Shi, Minglei; Arai, Ryutaro; Nakai, Eiichi 5 2019 Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation. Zbl 1425.46021Nakai, Eiichi; Yoneda, Tsuyoshi 2 2019 Commutators of Calderón-Zygmund and generalized fractional integral operators on generalized Morrey spaces. Zbl 1391.42013Arai, Ryutaro; Nakai, Eiichi 10 2018 Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces. Zbl 1396.26014Sihwaningrum, Idha; Gunawan, Hendra; Nakai, Eiichi 9 2018 On inclusion relation between weak Morrey spaces and Morrey spaces. Zbl 1383.42021Gunawan, Hendra; Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro 3 2018 Pointwise multipliers on several function spaces – a survey. Zbl 1375.42007Nakai, Eiichi 8 2017 Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition. Zbl 1395.42054Nakai, Eiichi 8 2017 Some new properties concerning BLO martingales. Zbl 1372.60061Nakai, Eiichi; Sadasue, Gaku 6 2017 Pointwise multipliers on Musielak-Orlicz-Morrey spaces. Zbl 1390.46034Nakai, Eiichi 6 2017 Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces. Zbl 1386.60162Nakai, Eiichi; Sadasue, Gaku 5 2017 Characterizations of variable exponent Hardy spaces via Riesz transforms. Zbl 1337.42025Yang, Dachun; Zhuo, Ciqiang; Nakai, Eiichi 42 2016 Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces. Zbl 1335.42016Hakim, Denny Ivanal; Nakai, Eiichi; Sawano, Yoshihiro 14 2016 \(B_w^u\)-function spaces and their interpolation. Zbl 1365.42016Nakai, Eiichi; Sobukawa, Takuya 12 2016 Pointwise multipliers on Musielak-Orlicz spaces. Zbl 1382.46019Nakai, Eiichi 5 2016 Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent. Zbl 1339.46027Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro 17 2015 Orlicz-Hardy spaces and their duals. Zbl 1304.42060Nakai, Eiichi; Sawano, Yoshihiro 42 2014 Function spaces with variable exponents – an introduction. Zbl 1344.46023Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro 34 2014 Characterizations for the generalized fractional integral operators on Morrey spaces. Zbl 1298.42018Eridani; Gunawan, Hendra; Nakai, Eiichi; Sawano, Yoshihiro 31 2014 Boundedness of intrinsic Littlewood-Paley functions on Musielak-Orlicz Morrey and Campanato spaces. Zbl 1280.42016Liang, Yiyu; Nakai, Eiichi; Yang, Dachun; Zhang, Junqiang 18 2014 Generalized fractional integrals on generalized Morrey spaces. Zbl 1304.46027Nakai, Eiichi 16 2014 Weighted Hardy inequalities with infinitely many sharp missing terms. Zbl 1312.35004Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi 6 2014 Pointwise multipliers on martingale Campanato spaces. Zbl 1301.46010Nakai, Eiichi; Sadasue, Gaku 5 2014 Some properties of slowly increasing functions. Zbl 1309.26001Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi 1 2014 Integral operators on \(B_\sigma\)-Morrey-Campanato spaces. Zbl 1273.42023Komori-Furuya, Yasuo; Matsuoka, Katsuo; Nakai, Eiichi; Sawano, Yoshihiro 15 2013 Martingale Morrey-Hardy and Campanato-Hardy spaces. Zbl 1298.46030Nakai, Eiichi; Sadasue, Gaku; Sawano, Yoshihiro 13 2013 Maximal function on generalized martingale Lebesgue spaces with variable exponent. Zbl 1295.60052Nakai, Eiichi; Sadasue, Gaku 12 2013 Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials. Zbl 1269.31005Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu 7 2013 The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent. Zbl 1304.42048Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro 7 2013 Applications of Littlewood-Paley theory for \(\dot{B}_\sigma\)-Morrey spaces to the boundedness of integral operators. Zbl 1275.42036Komori-Furuya, Yasuo; Matsuoka, Katsuo; Nakai, Eiichi; Sawano, Yoshihiro 5 2013 Hardy spaces with variable exponent. Zbl 1307.42020Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro 3 2013 Hardy spaces with variable exponents and generalized Campanato spaces. Zbl 1244.42012Nakai, Eiichi; Sawano, Yoshihiro 202 2012 Martingale Orlicz-Hardy spaces. Zbl 1260.60082Miyamoto, Takashi; Nakai, Eiichi; Sadasue, Gaku 42 2012 Martingale Morrey-Campanato spaces and fractional integrals. Zbl 1254.46035Nakai, Eiichi; Sadasue, Gaku 34 2012 Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\). Zbl 1273.31005Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 17 2012 Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces. Zbl 1246.46034Mizuta, Yoshihiro; Nakai, Eiichi; Sawano, Yoshihiro; Shimomura, Tetsu 8 2012 Generalized Stummel class and Morrey spaces. Zbl 1289.46048Gunawan, Hendra; Nakai, Eiichi; Sawano, Yoshihiro; Tanaka, Hitoshi 6 2012 Construction of slowly increasing functions. Zbl 1276.26002Ando, Hiroshi; Horiuchi, Toshio; Nakai, Eiichi 2 2012 Bilinear estimates in dyadic BMO and the Navier-Stokes equations. Zbl 1251.35073Nakai, Eiichi; Yoneda, Tsuyoshi 1 2012 Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents. Zbl 1228.31004Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 30 2011 Orlicz-Morrey spaces and their preduals. Zbl 1294.46028Nakai, Eiichi 13 2011 Fractional integral operators on \(\mathbf{B^{p,\lambda}}\) with Morrey-Campanato norms. Zbl 1231.42021Matsuoka, Katsuo; Nakai, Eiichi 11 2011 Boundedness of Lusin-area and functions on localized BMO spaces over doubling metric measure spaces. Zbl 1220.42014Lin, Haibo; Nakai, Eiichi; Yang, Dachun 6 2011 Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations. Zbl 1221.35283Nakai, Eiichi; Yoneda, Tsuyoshi 4 2011 Boundedness of Lusin-area and \(g^{\ast}_\lambda\) functions on localized Morrey-Campanato spaces over doubling metric measure spaces. Zbl 1231.42017Lin, Haibo; Nakai, Eiichi; Yang, Dachun 4 2011 Hardy’s inequality in Orlicz-Sobolev spaces of variable exponent. Zbl 1227.46023Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 3 2011 Sobolev’s inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent. Zbl 1294.46037Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 1 2011 Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials. Zbl 1200.26007Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 28 2010 Singular and fractional integral operators on Campanato spaces with variable growth conditions. Zbl 1206.42015Nakai, Eiichi 24 2010 Pointwise multipliers of Orlicz spaces. Zbl 1211.46025Maligranda, Lech; Nakai, Eiichi 11 2010 Estimates for Lusin-area and Littlewood-Paley \(g_\lambda^*\) functions over spaces of homogeneous type. Zbl 1183.42019Meng, Yan; Nakai, Eiichi; Yang, Dachun 3 2010 Generalized Hardy identity and relations to Gibbs-Wilbraham and Pinsky phenomena. Zbl 1200.42004Kuratsubo, Shigehiko; Nakai, Eiichi; Ootsubo, Kazuya 1 2010 Orlicz–Morrey spaces and the Hardy–Littlewood maximal function. Zbl 1163.46020Nakai, Eiichi 81 2008 A generalization of Hardy spaces \(H^p\) by using atoms. Zbl 1153.42011Nakai, Eiichi 20 2008 Calderón–Zygmund operators on Orlicz–Morrey spaces and modular inequalities. Zbl 1163.46021Nakai, Eiichi 15 2008 An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces \(L^{1,\nu,\beta}(G)\). Zbl 1175.31005Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu 14 2008 Recent topics of fractional integrals. Zbl 1246.26007Nakai, Eiichi 15 2007 Calderón-Zygmund operators on amalgam spaces and in the discrete case. Zbl 1125.43001Kikuchi, Norio; Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô; Yoneda, Tsuyoshi 10 2007 The Campanato, Morrey and Hölder spaces on spaces of homogeneous type. Zbl 1121.46031Nakai, Eiichi 64 2006 Construction of an atomic decomposition for functions with compact support. Zbl 1084.42018Nakai, Eiichi 1 2006 Generalized fractional integrals on Orlicz-Morrey spaces. Zbl 1118.42005Nakai, Eiichi 64 2004 On generalized fractional integral operators. Zbl 1058.42007Eridani; Gunawan, Hendra; Nakai, Eiichi 22 2004 Density of the set of all infinitely differentiable functions with compact support in weighted Sobolev spaces. Zbl 1080.46019Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô 9 2004 On generalized fractional integrals on the weak Orlicz spaces, BMO\(_\phi\), the Morrey spaces and the Campanato spaces. Zbl 1021.42006Nakai, Eiichi 10 2002 On generalized fractional integrals. Zbl 0990.26007Nakai, Eiichi 41 2001 On generalized Riesz potentials and spaces of some smooth functions. Zbl 0995.43004Nakai, Eiichi; Sumitomo, Hironori 19 2001 On generalized fractional integrals in the Orlicz spaces on spaces of homogeneous type. Zbl 1007.42013Nakai, Eiichi 19 2001 A characterization of pointwise multipliers on the Morrey spaces. Zbl 0980.42005Nakai, Eiichi 23 2000 On generalized fractional integrals in the Orlicz spaces. Zbl 1058.26003Nakai, Eiichi 5 2000 Pointwise multipliers on Campanato spaces and Morrey spaces. Zbl 0938.46516Nakai, Eiichi 1 1998 Pointwise multipliers for functions of weighted bounded mean oscillation on spaces of homogeneous type. Zbl 0884.42010Nakai, Eiichi; Yabuta, Kôzô 27 1997 Pointwise multipliers on weighted BMO spaces. Zbl 0874.42009Nakai, Eiichi 9 1997 Hardy-Littlewood maximal operator, singular integral operators and the Riesz potentials on generalized Morrey spaces. Zbl 0837.42008Nakai, Eiichi 244 1994 Pointwise multipliers for functions of weighted bounded mean oscillation. Zbl 0812.42008Nakai, Eiichi 20 1993 Singular integral operators on \(L_ k^{p,\Phi}\)-spaces. Zbl 0629.47029Nakai, Eiichi 1 1987 Pointwise multipliers for functions of bounded mean oscillation. Zbl 0546.42019Nakai, Eiichi; Yabuta, Kozo 43 1985 On the restriction of functions of bounded mean oscillation to the lower dimensional space. Zbl 0586.46021Nakai, Eiichi 4 1984 all cited Publications top 5 cited Publications all top 5 Cited by 553 Authors 93 Yang, Dachun 72 Guliyev, Vagif Sabir 68 Sawano, Yoshihiro 56 Shimomura, Tetsu 44 Nakai, Eiichi 40 Ho, Kwok-Pun 40 Yuan, Wen 36 Mizuta, Yoshihiro 31 Ohno, Takao 21 Xu, Jingshi 17 Samko, Natasha 17 Weisz, Ferenc 16 Omarova, Mehriban N. 15 Deringoz, Fatih 15 Hakim, Denny Ivanal 15 Jiao, Yong 15 Samko, Stefan Grigor’evich 15 Zhuo, Ciqiang 13 Gunawan, Hendra 12 Burenkov, Viktor Ivanovich 12 Softova, Lubomira G. 12 Tan, Jian 12 Yang, Sibei 12 Zhang, Yangyang 10 Akbulut, Ali 10 Izuki, Mitsuo 10 Liu, Liguang 10 Maeda, Fumiyuki 10 Noi, Takahiro 10 Serbetci, Ayhan 10 Tanaka, Hitoshi 10 Wang, Hongbin 9 Fu, Xing 9 Hao, Zhiwei 9 Ky, Luong Dang 9 Liu, Jun 8 Ekincioglu, Ismail 8 Fu, Zunwei 8 Hasanov, Javanshir J. 8 Lu, Guanghui 8 Xie, Guangheng 7 Almeida, Alexandre 7 Hasanov, Sabir G. 7 He, Ziyi 7 Li, Baode 7 Matsuoka, Katsuo 7 Wu, Lian 7 Zhou, Dejian 6 Arai, Ryutaro 6 Cao, Jun 6 Chang, Der-Chen E. 6 Huang, Long 6 Liang, YiYu 6 Liu, Xiong 6 Meskhi, Alexander 6 Rosenthal, Marcel 6 Zhao, Jiman 5 Bonami, Aline 5 Gurbuz, Ferit 5 Horiuchi, Toshio 5 Jia, Hongchao 5 Kucukaslan, Abdulhamit 5 Leśnik, Karol 5 Li, Libo 5 Lin, Haibo 5 Maligranda, Lech 5 Mustafayev, Rza Ch. 5 Nakamura, Shohei 5 Nogayama, Toru 5 Persson, Lars-Erik 5 Saibi, Khedoudj 5 Wang, Fan 5 Wang, Hua 5 Wang, Shengrong 5 Wang, Wenhua 5 Yan, Xianjie 5 Yee, Tat-Leung 4 Ahmadli, Aysel A. 4 Betancor Perez, Jorge Juan 4 Burtseva, Evgeniya 4 Eroglu, Ahmet 4 Ghorbanalizadeh, Arash M. 4 Górka, Przemysław 4 Ismayilova, Afag F. 4 Karlovych, Oleksiy 4 Kawasumi, Ryota 4 Li, Bo 4 Liu, Yin 4 Rafeiro, Humberto 4 Ragusa, Maria Alessandra 4 Rocha, Pablo Alejandro 4 Sadasue, Gaku 4 Shi, Shaoguang 4 Sobukawa, Takuya 4 Sugiyama, Yuusuke 4 Tao, Shuangping 4 Wang, Liwei 4 Wang, Songbai 4 Yabuta, Kôzô 4 Yamamoto, Masakazu ...and 453 more Authors all top 5 Cited in 180 Serials 40 Journal of Mathematical Analysis and Applications 29 Journal of Function Spaces 26 Journal of Inequalities and Applications 22 Banach Journal of Mathematical Analysis 21 Science China. Mathematics 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 The Journal of Geometric Analysis 17 The Journal of Fourier Analysis and Applications 17 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 16 Revista Matemática Complutense 14 Mathematische Nachrichten 14 Positivity 13 Acta Mathematica Hungarica 13 Georgian Mathematical Journal 13 Fractional Calculus & Applied Analysis 12 Journal of Functional Analysis 12 Annales Academiae Scientiarum Fennicae. Mathematica 12 Mathematical Inequalities & Applications 12 Acta Mathematica Sinica. English Series 11 Potential Analysis 11 Journal of Function Spaces and Applications 11 Mediterranean Journal of Mathematics 11 Journal of Mathematical Inequalities 10 Complex Variables and Elliptic Equations 10 Analysis and Mathematical Physics 9 Forum Mathematicum 9 Kyoto Journal of Mathematics 8 Open Mathematics 7 Mathematical Notes 7 Journal of the Mathematical Society of Japan 7 Acta Mathematica Scientia. Series B. (English Edition) 6 Collectanea Mathematica 6 Czechoslovak Mathematical Journal 6 Integral Equations and Operator Theory 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 6 Journal of Mathematical Sciences (New York) 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Journal of Pseudo-Differential Operators and Applications 6 Annals of Functional Analysis 6 Eurasian Mathematical Journal 5 Integral Transforms and Special Functions 5 Abstract and Applied Analysis 5 Taiwanese Journal of Mathematics 5 Frontiers of Mathematics in China 5 Analysis and Geometry in Metric Spaces 4 Mathematical Methods in the Applied Sciences 4 Canadian Mathematical Bulletin 4 Results in Mathematics 4 Tôhoku Mathematical Journal. Second Series 4 Bulletin of the Korean Mathematical Society 4 Statistics & Probability Letters 4 Bulletin des Sciences Mathématiques 4 Boundary Value Problems 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 3 Analysis Mathematica 3 Rocky Mountain Journal of Mathematics 3 Studia Mathematica 3 Ukrainian Mathematical Journal 3 Archiv der Mathematik 3 Dissertationes Mathematicae 3 Journal of Differential Equations 3 Nagoya Mathematical Journal 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Tokyo Journal of Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Applied Mathematics. Series B (English Edition) 3 Turkish Journal of Mathematics 3 Doklady Mathematics 3 Journal of the Australian Mathematical Society 3 Journal of the Indonesian Mathematical Society 3 Complex Analysis and Operator Theory 3 Tbilisi Mathematical Journal 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 3 Afrika Matematika 3 Transactions of A. Razmadze Mathematical Institute 3 Advances in Operator Theory 2 Applicable Analysis 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 2 Colloquium Mathematicum 2 Hiroshima Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Approximation Theory 2 Matematički Vesnik 2 Mathematische Zeitschrift 2 Ricerche di Matematica 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Constructive Approximation 2 Asymptotic Analysis 2 Sugaku Expositions 2 International Journal of Mathematics ...and 80 more Serials all top 5 Cited in 28 Fields 594 Harmonic analysis on Euclidean spaces (42-XX) 463 Functional analysis (46-XX) 125 Operator theory (47-XX) 93 Real functions (26-XX) 90 Partial differential equations (35-XX) 63 Probability theory and stochastic processes (60-XX) 45 Functions of a complex variable (30-XX) 41 Potential theory (31-XX) 22 Approximations and expansions (41-XX) 20 Abstract harmonic analysis (43-XX) 10 Fluid mechanics (76-XX) 9 Integral equations (45-XX) 8 Integral transforms, operational calculus (44-XX) 6 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Ordinary differential equations (34-XX) 3 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year