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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 2

A note for some parabolic multilinear commutators generated by a class of parabolic maximal and linear operators with rough kernel on the parabolic generalized local Morrey spaces

Ferit Gürbüz(HAKKARI UNIVERSITY)0000-0003-3049-688X
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Yayın Tarihi
2020-04-02
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Indeed, the results in this paper are extensions of some known results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we give the boundedness of some parabolic multilinear commutators generated by a class of parabolic maximal and linear operators with rough kernel and parabolic local Campanato functions on the parabolic generalized local Morrey spaces, respectively.
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Temel Bulgular & Veri:In this paper, we give the boundedness of some parabolic multilinear commutators generated by a class of parabolic maximal and linear operators with rough kernel and parabolic local Campanato functions on the parabolic generalized local Morrey spaces, respectively.
💡
Sonuç & Katkı:Indeed, the results in this paper are extensions of some known results.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:parabolic multilinear commutators · rough kernel · parabolic generalized local Morrey space

Abstract

In this paper, we give the boundedness of some parabolic multilinear commutators generated by a class of parabolic maximal and linear operators with rough kernel and parabolic local Campanato functions on the parabolic generalized local Morrey spaces, respectively. Indeed, the results in this paper are extensions of some known results.

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Bu Makaleye Atıf Yap

Gürbüz, F. (2020). A note for some parabolic multilinear commutators generated by a class of parabolic maximal and linear operators with rough kernel on the parabolic generalized local Morrey spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 2. https://doi.org/10.15672/hujms.568393

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Kaynakça (14)

  1. D.R. Adams, Morrey spaces, Lecture Notes in Applied and Numerical Harmonic Analysis, Birkhäuser/Springer, Cham, 2015.
  2. A.P. Calderón and A. Torchinsky, Parabolic maximal functions associated with a distribution, Adv. Math. 16, 1-64, 1975.
  3. R.R. Coifman and G. Weiss, Analyse harmonique non-commutative sur certains espaces homogènes, Étude de certaines intégrales singuliàres, Lecture Notes in Mathematics, 242, Berlin-New York: Springer-Verlag, 1971, (in French).
  4. Y. Ding, Weak type bounds for a class of rough operators with power weights, Proc. Amer. Math. Soc. 125, 2939-2942, 1997.
  5. E. Fabes and N. Riviére, Singular integrals with mixed homogeneity, Stud. Math. 27, 19-38, 1966.
  6. G.B. Folland and E.M. Stein, Hardy Spaces on homogeneous groups, Math. Notes 28, Princeton Univ. Press, Princeton, 1982.
  7. F. Gürbüz, Parabolic sublinear operators with rough kernel generated by parabolic Calderón-Zygmund operators and parabolic local Campanato space estimates for their commutators on the parabolic generalized local Morrey spaces, Open Math. 14 (1), 300-323, 2016.
  8. F. Gürbüz Parabolic generalized local Morrey space estimates of rough parabolic sublinear operators and commutators, Adv. Math. (China) 46 (5), 765-792, 2017.
  9. F. Gürbüz, Some estimates for generalized commutators of rough fractional maximal and integral operators on generalized weighted Morrey spaces, Canad. Math. Bull. 60 (1), 131-145, 2017.
  10. C.B. Morrey, On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc. 43, 126-166, 1938.
  11. F. Soria and G. Weiss, A remark on singular integrals and power weights, Indiana Univ. Math. J. 43, 187-204, 1994.
  12. E.M. Stein, Note on singular integrals, Proc. Amer. Soc. Math. 8, 250-254, 1957.
  13. R.L. Wheeden and A. Zygmund, Measure and Integral: An Introduction to Real Analysis, vol. 43 of Pure and Applied Mathematics, Marcel Dekker, New York, NY, USA, 1977.
  14. Q.Y. Xue, Y. Ding and K. Yabuta, Parabolic Littlewood-Paley g-function with rough kernel, Acta Math. Sin. (Engl. Ser.) 24 (12), 2049-2060, 2008.