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Year 2018, Volume: 67 Issue: 2, 188 - 194, 01.08.2018

References

  • 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

POTENTIAL OPERATORS ON CARLESON CURVES IN

Year 2018, Volume: 67 Issue: 2, 188 - 194, 01.08.2018

References

  • 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
There are 13 citations in total.

Details

Other ID JA35NJ22NK
Journal Section Research Article
Authors

Ahmet Eroglu This is me

B.irada Dadashova This is me

Publication Date August 1, 2018
Submission Date August 1, 2018
Published in Issue Year 2018 Volume: 67 Issue: 2

Cite

APA Eroglu, A., & Dadashova, B. (2018). POTENTIAL OPERATORS ON CARLESON CURVES IN. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(2), 188-194.
AMA Eroglu A, Dadashova B. POTENTIAL OPERATORS ON CARLESON CURVES IN. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2018;67(2):188-194.
Chicago Eroglu, Ahmet, and B.irada Dadashova. “POTENTIAL OPERATORS ON CARLESON CURVES IN”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, no. 2 (August 2018): 188-94.
EndNote Eroglu A, Dadashova B (August 1, 2018) POTENTIAL OPERATORS ON CARLESON CURVES IN. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 2 188–194.
IEEE A. Eroglu and B. Dadashova, “POTENTIAL OPERATORS ON CARLESON CURVES IN”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 2, pp. 188–194, 2018.
ISNAD Eroglu, Ahmet - Dadashova, B.irada. “POTENTIAL OPERATORS ON CARLESON CURVES IN”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/2 (August 2018), 188-194.
JAMA Eroglu A, Dadashova B. POTENTIAL OPERATORS ON CARLESON CURVES IN. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:188–194.
MLA Eroglu, Ahmet and B.irada Dadashova. “POTENTIAL OPERATORS ON CARLESON CURVES IN”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 2, 2018, pp. 188-94.
Vancouver Eroglu A, Dadashova B. POTENTIAL OPERATORS ON CARLESON CURVES IN. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(2):188-94.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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