Boundedness for a class of generalized commutators on λ-central Morrey space

Fractional integral operators on the mixed $λ$-central central Morrey spaces

“…The proof of Proposition 2.2 is a slight modification of Lemma 2.5 in [23] and we omit the details here.…”

Olsen-type inequalities for the generalized commutator of multilinear fractional integrals

“…Nowadays, Theorem B and its variants are called Adams-type inequalities since the inequality plays significant roles in studying the boundedness for the fractional integral and its commutators on the Morrey spaces (see [6,10,17,19,46] and others). Particularly, recently Sawano et al obtained the following result.…”

Commutators of weighted Hardy operator on weighted $λ$-central Morrey space

“…For the actions of commutators on Ṁp,λ (R n ), one may see [4,8,17] et al to find more details with b ∈ Ċp,λ (R n ) and 0 < λ < 1 n . For the case b ∈ Ċp,λ (R n ) with − 1 p < λ < 0, Shi and Lu [16] studied the boundedness of commutators generated by the Hardy operators.…”