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Issue: Vol. 23 No. 7 (2026)
Section: Articles
DOI: 10.54607/hcmue.js.23.7.4712(2026)
Date Published: 27/07/2026
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Tran, T. T., Phan, T. K., Nguyen, P. N. M., & Tran, T. D. (2026). CALDERÓN – ZYGMUND OPERATORS OF TYPE THETA ON A PAIR OF WEIGHTED LORENTZ SPACES. Ho Chi Minh City University of Education Journal of Science, 23(7), 1605-1615. https://doi.org/10.54607/hcmue.js.23.7.4712(2026)

CALDERÓN – ZYGMUND OPERATORS OF TYPE THETA ON A PAIR OF WEIGHTED LORENTZ SPACES

Tran Trung Toan1, Phan Tuan Kiet1, Nguyen Pham Nhat Minh1, Tran Tri Dung1,
1 Ho Chi Minh City University of Education, Vietnam

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Abstract

In this paper, we study Calderón – Zygmund operators of type theta on weighted Lorentz spaces (see Definitions 1.1, 1.3 and 1.4). More precisely, we present a sufficient condition on weight functions under which the boundedness of the Calderón – Zygmund operators of type theta on a pair of weighted Lorentz spaces is established (see Theorem 3.1). Our approach is to bound the norms of such operators using the boundedness of Hardy-type operators on weighted Lorentz spaces (see Lemma 2.2) and the boundedness of the Calderón – Zygmund operators of type theta on classical Lorentz spaces (see Proposition 2.3). 

Keywords

toán tử Calderón – Zygmund loại theta, toán tử loại Hardy, hàm trọng, không gian Lorentz có trọng

Article Details

References

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