Volume 33, Issue 4
Vector-Valued Inequalities for Commutators of Singular Integrals on Herz Spaces with Variable Exponents

Liwei Wang, Meng QuLisheng Shu

Commun. Math. Res., 33 (2017), pp. 363-376.

Published online: 2019-11

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  • Abstract

Based on the theory of variable exponents and BMO norms, we prove the vector-valued inequalities for commutators of singular integrals on both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents. Furthermore, we show that a wide class of commutators generated by BMO functions and sublinear operators satisfy vector-valued inequalities.

  • Keywords

variable exponent, Herz spaces, commutator, singular integral

  • AMS Subject Headings

42B20, 42B25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wangliwei@ahpu.edu.cn (Liwei Wang)

  • BibTex
  • RIS
  • TXT
@Article{CMR-33-363, author = {Wang , Liwei and Qu , Meng and Shu , Lisheng}, title = {Vector-Valued Inequalities for Commutators of Singular Integrals on Herz Spaces with Variable Exponents}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {4}, pages = {363--376}, abstract = {

Based on the theory of variable exponents and BMO norms, we prove the vector-valued inequalities for commutators of singular integrals on both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents. Furthermore, we show that a wide class of commutators generated by BMO functions and sublinear operators satisfy vector-valued inequalities.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.04.09}, url = {http://global-sci.org/intro/article_detail/cmr/13407.html} }
TY - JOUR T1 - Vector-Valued Inequalities for Commutators of Singular Integrals on Herz Spaces with Variable Exponents AU - Wang , Liwei AU - Qu , Meng AU - Shu , Lisheng JO - Communications in Mathematical Research VL - 4 SP - 363 EP - 376 PY - 2019 DA - 2019/11 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.04.09 UR - https://global-sci.org/intro/article_detail/cmr/13407.html KW - variable exponent, Herz spaces, commutator, singular integral AB -

Based on the theory of variable exponents and BMO norms, we prove the vector-valued inequalities for commutators of singular integrals on both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents. Furthermore, we show that a wide class of commutators generated by BMO functions and sublinear operators satisfy vector-valued inequalities.

Liwei Wang, Meng Qu & Lisheng Shu. (2019). Vector-Valued Inequalities for Commutators of Singular Integrals on Herz Spaces with Variable Exponents. Communications in Mathematical Research . 33 (4). 363-376. doi:10.13447/j.1674-5647.2017.04.09
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