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Boundedness of the Vector-Valued Intrinsic Square Functions on Variable Exponents Herz Spaces

Author

Listed:
  • Omer Abdalrhman Omer

    (College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China)

  • Muhammad Zainul Abidin

    (College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China)

Abstract

In this article, the authors study the boundedness of the vector-valued inequality for the intrinsic square function and the boundedness of the scalar-valued intrinsic square function on variable exponents Herz spaces K ˙ ρ ( · ) α , q ( · ) ( R n ) . In addition, the boundedness of commutators generated by the scalar-valued intrinsic square function and BMO class is also studied on K ˙ ρ ( · ) α , q ( · ) ( R n ) .

Suggested Citation

  • Omer Abdalrhman Omer & Muhammad Zainul Abidin, 2022. "Boundedness of the Vector-Valued Intrinsic Square Functions on Variable Exponents Herz Spaces," Mathematics, MDPI, vol. 10(7), pages 1-22, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1168-:d:786601
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