POTENTIAL OPERATORS ON CARLESON CURVES IN

___

  • Adams, D.R., A note on Riesz potentials, Duke Math. 42 (1975), 765-778.
  • Bottcher A. and Yu.I. Karlovich, Carleson curves, Muckenhoupt weights, and Toeplitz op- erators, Basel, Boston, Berlin: Birkhäuser Verlag, 1997.
  • Bottcher A. and Yu.I. Karlovich, Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights, Trans. Amer. Math. Soc. 351 (1999), 3196.
  • Eridani, V. Kokilashvili and A. Meskhi, Morrey spaces and fractional integral operators, Expo. Math. 27 (3) (2009), 227-239.
  • Genebashvili, I., A. Gogatishvili, V. Kokilashvili, M. Krbec, Weight theory for integral trans- forms on spaces of homogeneous type, Pitman Monographs and Surveys, Pure and Applied Mathematics: Longman Scienti…c and Technical, 1998.
  • Karlovich, A.Yu., Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves, Math. Nachr. 283 (1) (2010), 85-93.
  • Kokilashvili, V., Fractional integrals on curves, (Russian) Trudy Tbliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 95 (1990), 56-70.
  • Kokilashvili V., and A. Meskhi, Fractional integrals on measure spaces, Frac. Calc. Appl. Anal. 4 (4) (2001), 1-24.
  • Kokilashvili, V. and A. Meskhi, Boundedness of maximal and singular operators in Morrey spaces with variable exponent, Arm. J. Math. (Electronic) 1 (1) (2008), 18-28.
  • Kokilashvili, V. and S. Samko, Boundedness of maximal operators and potential operators on Carleson curves in Lebesgue spaces with variable exponent, Acta Math. Sin. (English Ser.) (11) (2008), 1775-1800.
  • Morrey, C.B,. On the solutions of quasi-linear elliptic partial diğerential equations, Trans. Amer. Math. Soc. 43 (1938), 126-166.
  • Samko, N., Weighted Hardy and singular operators in Morrey spaces, J. Math. Anal. Appl. (1) (2009), 56-72.
  • Current address : Ahmet Eroglu (Corresponding author): Omer Halisdemir University, De- partment of Mathematics, Nigde, Turkey E-mail address : aeroglu@ohu.edu.tr ORCID Address: Current address : Irada B. Dadashova: Baku State University, Applied Mathematics and Cybernetics, Baku, Azerbaijan E-mail address : irada-dadashova@rambler.ru ORCID Address: http://orcid.org/0000-0003-4552-0686