Commutator of Riesz potential in p-adic generalized Morrey spaces

p-adic singular integrals and their commutators in generalized Morrey spaces

“…Moreover, in the p-adic linear space Q n p , Volosivets [13] gave sufficient conditions for the boundedness of the maximal function and Riesz potential in p-adic generalized Morrey spaces. Mo et al [14] established the boundedness of the commutators generated by the p-adic Riesz potential and p-adic generalized Campanato functions in padic generalized Morrey spaces.…”

“…Motivated by the works of [12][13][14], we consider the boundedness of T k on the p-adic generalized Morrey type spaces, as well as the boundedness of the commutators generated by T k and p-adic generalized Campanato functions.…”

$p$-adic singular integral and their commutator in generalized Morrey space

“…Mo etal. [14] established the boundedness of the commutators generated by the p-adic Riesz potential and p-adic generalized Campanato functions in p-adic generalized Morrey spaces.…”

“…Motivated by the works of [12,13,14], we are going to consider the boundedness of T k on the p-adic generalized Morrey type spaces, as well as the boundedness of the commutators generated by L k and p-adic generalized Campanato functions.…”

“…Lemma 2.3 [14] Let α be a complex number with 0 < Reα < n, and let 1 < r < ∞, 1 < q < n/Reα, 0 < 1/r = 1/q − Reα/n. Suppose that both ω and ν are non-negative measurable functions, such that…”