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Commutators of fractional maximal operator on generalized Orlicz–Morrey spaces

sabir hasanov
sabir hasanov
sabir hasanov
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References (39)

  • Adams, D.R.: A note on Riesz potentials. Duke Math. J. 42, 765-778 (1975)
  • Calderón, A.P.: Commutators of singular integral operators. Proc. Nat. Acad. Sci. USA 53, 1092-1099 (1965)
  • Chanillo, S.: A note on commutators. Indiana Univ. Math. J. 31(1), 7-16 (1982)
  • Coifman, R.R., Rochberg, R., Weiss, G.: Factorization theorems for Hardy spaces in several variables. Ann. of Math. (2) 103(3), 611-635 (1976)
  • Coifman, R., Lions, P., Meyer, Y., Semmes, S.: Compensated compactness and Hardy spaces. J. Math. Pures Appl. 72, 247-286 (1993)
  • Cianchi, A.: Strong and weak type inequalities for some classical operators in Orlicz spaces. J. Lond. Math. Soc. (2) 60(1), 187-202 (1999)
  • Deringoz, F., Guliyev, V.S., Samko, S.: Boundedness of maximal and singular operators on generalized Orlicz-Morrey spaces. Oper. Theory Oper. Algebr. Appl. Ser. Oper. Theory Adv. Appl. 242, 139-158 (2014)
  • Deringoz, F., Guliyev, V.S., Samko, S.: Boundedness of the maximal operator and its commutators on vanishing generalized Orlicz-Morrey spaces. Ann. Acad. Sci. Fenn. Math. 40, 535-549 (2015)
  • Deringoz, F., Guliyev, V.S., Hasanov, S.G.: Characterizations for the Riesz potential and its commuta- tors on generalized Orlicz-Morrey spaces. J. Inequal. Appl. 2016, 248 (2016)
  • Deringoz, F., Guliyev, V.S., Hasanov, S.G.: A characterization for Adams type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces. Int. Transf. Spec. Funct. 28(4), 284-299 (2017)
  • Fu, X., Yang, D., Yuan, W.: Generalized fractional integrals and their commutators over non- homogeneous metric measure spaces. Taiwan. J. Math. 18(2), 509-557 (2014)
  • Gala, S., Sawano, Y., Tanaka, T.: A remark on two generalized Orlicz-Morrey spaces. J. Approx. Theory 98, 1-9 (2015)
  • Guliyev, V.S.: Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces. J. Inequal. Appl. 2009, 20 (2009)
  • Guliyev, V.S., Aliyev, S.S., Karaman, T., Shukurov, P.S.: Boundedness of sublinear operators and commutators on generalized Morrey Space. Int. Eq. Op. Theory. 71(3), 327-355 (2011)
  • Guliyev, V.S., Akbulut, A., Mammadov, Y.: Boundedness of fractional maximal operator and their higher order commutators in generalized Morrey spaces on Carnot groups. Acta Math. Sci. Ser. B Engl. Ed. 33(5), 1329-1346 (2013)
  • Guliyev, V.S., Shukurov, P.S.: On the boundedness of the fractional maximal operator, Riesz potential and their commutators in generalized Morrey Spaces. Oper. Theory Adv. Appl. 229, 175-194 (2013)
  • Guliyev, V.S., Deringoz, F.: On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces. J. Funct. Sp. 2014, 11 (2014)
  • Guliyev, V.S., Deringoz, F.: Boundedness of fractional maximal operator and its commutators on generalized Orlicz-Morrey spaces. Complex Anal. Oper. Theory 9(6), 1249-1267 (2015)
  • Guliyev, V.S., Hasanov, S.G., Sawano, Y., Noi, T.: Non-smooth atomic decompositions for generalized Orlicz-Morrey spaces of the third kind. Acta Appl. Math. 145, 133-174 (2016)
  • Gunawan, H.: A note on the generalized fractional integral operators. J. Indones. Math. Soc. 9, 39-43 (2003)
  • Hakim, D.I., Nakai, E., Sawano, Y.: Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces. Rev. Mat. Complut. 29(1), 59-90 (2016)
  • Hencl, S., Kleprlik, J.: Composition of q-quasiconformal mappings and functions in Orlicz-Sobolev spaces. Ill. J. Math. 56(3), 931-955 (2012)
  • Ho, K.-P.: Characterization of BMO in terms of rearrangement-invariant Banach function spaces. Expo. Math. 27, 363-372 (2009)
  • Ho, K.-P.: Littlewood-Paley spaces. Math. Scand. 108, 77-102 (2011)
  • Izuki, M., Sawano, Y.: Variable Lebesgue norm estimates for BMO functions. Czechoslov. Math. J. 62(3), 717-727 (2012)
  • Janson, S.: Mean oscillation and commutators of singular integral operators. Ark. Mat. 16, 263-270 (1978)
  • Nakai, E.: A characterization of pointwise multipliers on the Morrey spaces. Sci. Math. 3, 445-454 (2000)
  • Nakai, E.: Generalized fractional integrals on Orlicz-Morrey spaces. In: Kato, M., Maligranda, L. (eds.) Banach and Function Spaces. (Kitakyushu, 2003), Yokohama Publishers, Yokohama, 323-333 (2004)
  • Nakai, E.: Recent topics of fractional integrals. Sugaku Expos. Am. Math. Soc. 20(2), 215-235 (2007)
  • Orlicz, W.: Über eine gewisse Klasse von Räumen vom Typus B. Bull. Acad. Polon. A, 207-220 (1932); reprinted in: Collected Papers, PWN, Warszawa, pp. 217-230 (1988)
  • Orlicz, W.: Über Räume (L M ). Bull. Acad. Polon. A, 93-107 (1936). ; reprinted in: Collected Papers, PWN, Warszawa, pp. 345-359 (1988)
  • Peetre, J.: On the theory of M p,λ . J. Funct. Anal. 4, 71-87 (1969)
  • Ragusa, M.A.: Commutators of fractional integral operators on vanishing-Morrey spaces. J. Global Optim. 40(1-3), 361-368 (2008)
  • Rao, M.M., Ren, Z.D.: Theory of Orlicz Spaces. M. Dekker Inc, New York (1991)
  • Sawano, Y.: A vector-valued sharp maximal inequality on Morrey spaces with nondoubling measures. Georgian Math. J. 13(1), 153-172 (2006)
  • Sawano, Y., Sugano, S., Tanaka, H.: Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces. Trans. Amer. Math. Soc. 363(12), 6481-6503 (2011)
  • Sawano, Y., Sugano, S., Tanaka, H.: Orlicz-Morrey spaces and fractional operators. Potential Anal. 36(4), 517-556 (2012)
  • Shirai, S.: Notes on commutators of fractional integral operators on generalized Morrey spaces. Sci. Math. Jpn. 63(2), 241-246 (2006)
  • Zhang, P., Wu, J.: Commutators of the fractional maximal function on variable exponent Lebesgue spaces. Czechoslov. Math. J. 64(1), 183-197 (2014)