Research Article

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

Volume: 49 Number: 2 April 2, 2020
EN

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

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.

Keywords

References

  1. [1] D.R. Adams, Morrey spaces, Lecture Notes in Applied and Numerical Harmonic Analysis, Birkhäuser/Springer, Cham, 2015.
  2. [2] A.P. Calderón and A. Torchinsky, Parabolic maximal functions associated with a distribution, Adv. Math. 16, 1-64, 1975.
  3. [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. [4] Y. Ding, Weak type bounds for a class of rough operators with power weights, Proc. Amer. Math. Soc. 125, 2939-2942, 1997.
  5. [5] E. Fabes and N. Riviére, Singular integrals with mixed homogeneity, Stud. Math. 27, 19-38, 1966.
  6. [6] G.B. Folland and E.M. Stein, Hardy Spaces on homogeneous groups, Math. Notes 28, Princeton Univ. Press, Princeton, 1982.
  7. [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. [8] F. Gürbüz Parabolic generalized local Morrey space estimates of rough parabolic sublinear operators and commutators, Adv. Math. (China) 46 (5), 765-792, 2017.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 2, 2020

Submission Date

July 26, 2017

Acceptance Date

February 6, 2019

Published in Issue

Year 2020 Volume: 49 Number: 2

APA
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, 49(2), 617-637. https://doi.org/10.15672/hujms.568393
AMA
1.Gürbüz F. 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. 2020;49(2):617-637. doi:10.15672/hujms.568393
Chicago
Gürbüz, Ferit. 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 49 (2): 617-37. https://doi.org/10.15672/hujms.568393.
EndNote
Gürbüz F (April 1, 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 49 2 617–637.
IEEE
[1]F. Gürbüz, “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, vol. 49, no. 2, pp. 617–637, Apr. 2020, doi: 10.15672/hujms.568393.
ISNAD
Gürbüz, Ferit. “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 49/2 (April 1, 2020): 617-637. https://doi.org/10.15672/hujms.568393.
JAMA
1.Gürbüz F. 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. 2020;49:617–637.
MLA
Gürbüz, Ferit. “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, vol. 49, no. 2, Apr. 2020, pp. 617-3, doi:10.15672/hujms.568393.
Vancouver
1.Ferit Gürbüz. 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. 2020 Apr. 1;49(2):617-3. doi:10.15672/hujms.568393