CALDERÓN – ZYGMUND OPERATORS OF TYPE THETA ON A PAIR OF WEIGHTED LORENTZ SPACES
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https://doi.org/10.54607/hcmue.js.23.7.4712(2026)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).Downloads
References
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