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Pointwise multipliers and generalized Campanato spaces with variable growth condition (Theory of function spaces and related topics)

中井, 英一 京都大学

2023.05

概要

Let E = V(JRn), 0 < p :S oo. If g E L 00 (1Rn), then Jg EE for all f E E. ...

参考文献

[1] R. Arai and E. Nakai, Commutators of Calder6n-Zygmund and generalized

fractional integral operators on generalized Morrey spaces, Rev. Mat. Complut.

31 (2018), No. 2, 287-331.

[2] R. Arai and E. Nakai, Compact commutators of Calder6n-Zygmund and generalized fractional integral operators with a function in generalized Campanato

spaces on generalized Morrey spaces, Tokyo J. Math. 42 (2019), No. 2, 471-496.

231

[3] R. Arai and E. Nakai, An extension of the characterization of CMO and its

application to compact commutators on Morrey spaces, J. Math. Soc. Japan

72 (2020), No. 2, 507-539.

[4] C. Bennett, Another characterization of BLO, Proc. Amer. Math. Soc. 85

(1982), No. 4, 552-556.

[5] Bennett-Sharpleyl988 Interpolation of operators,

[6] C. Bennett, R. A. DeVore and R Sharpley, Weak-£ 00 and BMO, Ann. of Math.

(2) 113 (1981), No. 3, 601-611.

[7] S. Campanato, Proprieta di holderianita di alcune classi di funzioni, Ann.

Scuola Norm. Sup. Pisa (3) 17 (1963), 175-188.

[8] S. Chanillo, A note on commutators, Indiana Univ. Math. J. 31 (1982), No. 1,

7-16.

[9] R. R. Coifman and R. Rochberg, Another characterization of BMO, Proc.

Amer. Math. Soc. 79 (1980), No. 2, 249-254.

[10] R. R. Coifman, R. Rochberg and G. Weiss, Factorization theorems for Hardy

spaces in several variables, Ann. of Math. (2) 103 (1976), No. 3, 611-635.

[11] D. Cruz-Uribe, A. Fiorenza and C. J. Neugebauer, The maximal function on

variable LP spaces, Ann. Acad. Sci. Fenn. Math. 28 (2003), No. 1, 223-238.

Corrections, Ann. Acad. Sci. Fenn. Math. 29 (2004), No. 1, 247-249.

[12] L. Diening, Maximal function on generalized Lebesgue spaces

y(·),

Math. In-

equal. Appl. 7 (2004), No. 2, 245-253.

[13] L. Diening, Maximal function on Musielak-Orlicz spaces and generalized

Lebesgue spaces, Bull. Sci. Math. 129 (2005), No. 8, 657-700.

[14] L. Diening, P. Harjulehto, P. Hasto, Y. Mizuta and T. Shimomura, Maximal

functions in variable exponent spaces: limiting cases of the exponent, Ann.

Acad. Sci. Fenn. Math. 34 (2009), No. 2, 503-522.

[15] G. Di Fazio and M. A. Ragusa, Commutators and Morrey spaces, Boll. Un.

Mat. Ital. A (7) 5 (1991), No. 3, 323-332.

[16] Eridani, H. Gunawan and E. Nakai, On generalized fractional integral operators, Sci. Math. Jpn. 60 (2004), 539-550.

232

[17] Eridani, H. Gunawan, E. Nakai and Y. Sawano, Characterizations for the generalized fractional integral operators on Morrey spaces, Math. lnequal. Appl.

17 (2014), No. 2, 761-777.

[18] Y. Giga, K. lnui and S. Matsui, On the Cauchy problem for the Navier-Stokes

equations with nondecaying initial data. Advances in fluid dynamics, 27-68,

Quad. Mat., 4, Dept. Math., Seconda Univ. Napoli, Caserta, (1999).

[19] L. Grafakos, Modern Fourier analysis, Third edition, Graduate Texts in Mathematics, 250. Springer, New York, 2014. xvi+624 pp.

[20] L. I. Hedberg, On certain convolution inequalities, Proc. Amer. Math. Soc. 36

(1972), 505-510.

[21] S. Janson, On functions with conditions on the mean oscillation, Ark. Math.

14 (1976), 189-196.

[22] S. Janson, Mean oscillation and commutators of singular integral operators.

Ark. Mat. 16 (1978), No. 2, 263-270.

[23] F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm.

Pure Appl. Math. 14 (1961), 415-426.

[24] J. Kato, The uniqueness of nondecaying solutions for the Navier-Stokes equations, Arch. Ration. Mech. Anal. 169 (2003), No. 2, 159-175.

[25] Y. Komori and T. Mizuhara, Notes on commutators and Morrey spaces,

Hokkaido Math. J. 32 (2003), No. 2, 345-353.

[26] A. K. Lerner, Some remarks on the Hardy-Littlewood maximal function on

variable V spaces, Math. Z. 251 (2005), 509-521.

[27] W. Li, E. Nakai and Do. Yang, Pointwise multipliers on BMO spaces with

non-doubling measures, Taiwanese J. Math. 22 (2018), No. 1, 183-203.

[28] H. Lin, E. Nakai and Da. Yang, Boundedness of Lusin-area and functions on

localized BMO spaces over doubling metric measure spaces, Bull. Sci. Math.

135 (2011), No. 1, 59-88.

[29] H. Lin and Da. Yang, Pointwise multipliers for localized Morrey-Campanato

spaces on RD-spaces, Acta Math. Sci. Ser. B Engl. Ed. 34 (2014), No. 6, 16771694.

233

[30] L. Liu and Da. Yang, Pointwise multipliers for Campanato spaces on Gauss

measure spaces, Nagoya Math. J. 214 (2014), 169-193.

[31] L. Maligranda and L. E. Persson, Generalized duality of some Banach function

spaces, Indag. Math. 51 (1989), No. 3, 323-338.

[32] N. G. Meyers, Mean oscillation over cubes and Holder continuity, Proc. Amer.

Math. Soc. 15 (1964), 717-721.

[33] E. Nakai, Pointwise multipliers for functions of weighted bounded mean oscil-

lation, Studia Math. 105 (1993), No. 2, 105-119.

[34] E. Nakai, Hardy-Littlewood maximal operator, singular integral operators and

the Riesz potentials on generalized Morrey spaces, Math. Nachr. 166 (1994),

95-103.

[35] E. Nakai, Pointwise multipliers on weighted BMO spaces, Studia Math. 125

(1997), No. 1, 35-56.

[36] Nakai, Eiichi In generalized fractional integrals in the Orlicz spaces. Proceedings

of the Second ISAAC Congress, Vol. 1 (Fukuoka, 1999), 75-81, Int. Soc. Anal.

Appl. Comput., 7, Kluwer Acad. Publ., Dordrecht, 2000.

[37] E. Nakai, On generalized fractional integrals, Taiwanese J. Math. 5 (2001),

587-602.

[38] E. Nakai, On generalized fractional integrals in the Orlicz spaces on spaces of

homogeneous type, Sci. Math. Jpn. 54 (2001), 473-487.

[39] E. Nakai, On generalized fractional integrals on the weak Orlicz spaces, BMOq1,

the Morrey spaces and the Campanato spaces, Function spaces, interpolation

theory and related topics (Lund, 2000), de Gruyter, Berlin, 2002, 389-401.

[40] E. Nakai, Generalized fractional integrals on Orlicz-Morrey spaces, Banach and

Function Spaces (Kitakyushu, 2003), Yokohama Publishers, Yokohama, 2004,

323-333.

[41] E. Nakai, The Campanato, Morrey and Holder spaces on spaces of homogeneous

type, Studia Math. 176 (2006), No. 1, 1-19.

[42] E. Nakai, Orlicz-Morrey spaces and the Hardy-Littlewood maximal function,

Studia Math. 188 (2008), No 3, 193-221.

234

[43] E. Nakai, A generalization of Hardy spaces HP by using atoms, Acta Math.

Sin. (Engl. Ser.) 24 (2008), No. 8, 1243-1268.

[44] E. Nakai, Singular and fractional integral operators on Campanato spaces with

variable growth conditions, Rev. Mat. Complut. 23 (2010), No. 2, 355-381.

[45] E. Nakai, Generalized fractional integrals on generalized Morrey spaces, Math.

Nachr. 287 (2014), No. 2-3, 339-351.

[46] E. Nakai, Pointwise multipliers on several function spaces - a survey-, Linear

and Nonlinear Anal. 3 (2017), No. 1, 27-59.

[47] E. Nakai, Singular and fractional integral operators on preduals of Campanato

spaces with variable growth condition, Sci. China Math. 60 (2017), No 11,

2219-2240.

[48] E. Nakai, Generalized Campanato spaces with variable growth condition,

Harmonic analysis and nonlinear partial differential equations, 65-92, RIMS

Kokyilroku Bessatsu, B74, Res. Inst. Math. Sci. (RIMS), Kyoto, 2019.

[49] E. Nakai and G. Sadasue, Maximal function on generalized martingale Lebesgue

spaces with variable exponent, Statist. Probab. Lett. 83 (2013), No. 10, 21682171.

[50] E. Nakai and G. Sadasue, Pointwise multipliers on martingale Campanato

spaces, Studia Math. 220 (2014), No. 1, 87-100.

[51] E. Nakai and G. Sadasue, Some new properties concerning BLO martingales,

Tohoku Math. J. 69 (2017), No. 2, 183-194.

[52] E. Nakai and Y. Sawano, Hardy spaces with variable exponents and generalized

Campanato spaces, J. Funct. Anal. 262 (2012), No. 9, 3665-3748.

[53] E. Nakai and T. Sobukawa, B~-function spaces and their interpolation, Tokyo

J. Math. 39 (2016), No. 2, 483-516.

[54] E. Nakai and K. Yabuta, Pointwise multipliers for functions of bounded mean

oscillation, J. Math. Soc. Japan, 37 (1985), 207-218.

[55] E. Nakai and K. Yabuta, Pointwise multipliers for functions of weighted

bounded mean oscillation on spaces of homogeneous type, Math. Japon. 46

(1997), No. 1, 15-28.

235

[56] E. Nakai and T. Yoneda, Riesz transforms on generalized Hardy spaces and

a uniqueness theorem for the Navier-Stokes equations, Hokkaido Math. J. 40

(2011), No. 1, 67-88.

[57] E. Nakai and T. Yoneda, Applications of Campanato spaces with variable

growth condition to the Navier-Stokes equation, Hokkaido Math. J. 48 (2019),

No. 1, 99-140.

[58]

1¥i~ m, ~jd'Fffl~iJ1fl°~t t~ Q~j)J;J:!§~0)1v«-tl~rd1, **3l:~7(~ {~±

fml:st, 2008.

[59] J. Peetre, On the theory of Lp,>-. spaces, J. Functional Analysis 4 (1969), 71-87.

[60] C. Perez, Two weighted inequalities for potential and fractional type maximal

operators, Indiana Univ. Math. J. 43 (1994), 663---683.

[61] M. Rosenthal and H. Triebel, Calder6n-Zygmund operators in Morrey spaces,

Rev. Mat. Complut. 27 (2014), 1-11.

[62] Y. Sawano, S. Sugano and H. Tanaka, Generalized fractional integral operators

and fractional maximal operators in the framework of Morrey spaces, Trans.

Amer. Math. Soc. 363 (2011), No. 12, 6481-6503.

[63] D. A. Stegenga, Bounded Toeplitz operators on H 1 and applications of the

duality between H 1 and the functions of bounded mean oscillation, Amer. J.

Math. 98 (1976), 573-589.

[64] K. Yabuta, Generalizations of Calder6n-Zygmund operators, Studia Math. 82

(1985), 17-31.

[65] K. Yabuta, Pointwise multipliers of weighted BMO spaces, Proc. Amer. Math.

Soc. 117 (1993), No. 3, 737-744.

...

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