<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>p</mi> </math>-Adic Riesz Potential and Its Commutators on Morrey-Herz Spaces
نویسندگان
چکیده
In this paper, we establish the boundedness of p -adic Riesz potential on Morrey-Herz spaces, as well id="M3"> λ -central BMO estimates for multilinear commutators id="M4"> spaces.
منابع مشابه
Riesz potential and its commutators on Orlicz spaces
In the present paper, we shall give necessary and sufficient conditions for the strong and weak boundedness of the Riesz potential operator [Formula: see text] on Orlicz spaces. Cianchi (J. Lond. Math. Soc. 60(1):247-286, 2011) found necessary and sufficient conditions on general Young functions Φ and Ψ ensuring that this operator is of weak or strong type from [Formula: see text] into [Formula...
متن کاملMultilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures
The authors consider the multilinear Riesz potential operator defined by Iα,m − → f x ∫ Rd m f1 y1 f2 y2 · · · fm ym /| x−y1, . . . , x−ym |mn−α dμ y1 · · ·dμ ym , where − → f denotes themtuple f1, f2, . . . , fm , m,n the nonnegative integers with n ≥ 2, m ≥ 1, 0 < α < mn, and μ is a nonnegative n-dimensional Borel measure. In this paper, the boundedness for the operator Iα,m on the product of...
متن کاملBoundedness of Littlewood-Paley operators and their commutators on Herz-Morrey spaces with variable exponent
The aim of this paper is to establish the vector-valued inequalities for Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and g∗μ-functions, and their commutators on the Herz-Morrey spaces with variable exponentMK̇ p,q(·)(R n). By applying the properties of Lp(·)(Rn) spaces and the vector-valued inequalities for Littlewood-Paley operators and their...
متن کاملAnisotropic Herz-morrey Spaces with Variable Exponents
In this paper, the authors introduce the anisotropic Herz-Morrey spaces with two variable exponents and obtain some properties of these spaces. Subsequently as an application, the authors give some boundedness on the anisotropic Herz-Morrey spaces with two variable exponents for a class of sublinear operators, which extend some known results.
متن کاملCBMO Estimates for Multilinear Commutator of Marcinkiewicz Operator in Herz and Morrey-Herz Spaces
In this paper, we establish CBMO estimates for the multilinear commutator related to the Marcinkiewicz operator in Herz and Morrey-Herz spaces.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of function spaces
سال: 2022
ISSN: ['2314-8896', '2314-8888']
DOI: https://doi.org/10.1155/2022/7227544