Results 71 to 80 of about 1,960 (141)

Two‐weight norm inequalities for the rough fractional integrals

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 8, Page 517-524, 2001., 2001
The authors give the weighted (Lp, Lq)‐boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.
Yong Ding, Chin-Cheng Lin
wiley   +1 more source

Regularity of one-sided multilinear fractional maximal functions

Open Mathematics, 2018
In this paper we introduce and investigate the regularity properties of one-sided multilinear fractional maximal operators, both in continuous case and in discrete case.
Liu Feng, Xu Lei
doaj   +1 more source

Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator [PDF]

, 2006
2000 Mathematics Subject Classification: 42B20, 42B25, 42B35We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel ...
Guliyev, Vagif, Hasanov, Javanshir
core  

Two weight estimates for a class of (p, q) type sublinear operators and their commutators

Open Mathematics, 2019
In the present paper, the authors investigate the two weight, weak-(p, q) type norm inequalities for a class of sublinear operators 𝓣γ and their commutators [b, 𝓣γ] on weighted Morrey and Amalgam spaces.
Yunpeng Hu, Jiang Zhou, Yonghui Cao
doaj   +1 more source

Embeddings of harmonic mixed norm spaces on smoothly bounded domains in ℝn

Open Mathematics, 2019
The main result of this paper is the ...
Arsenović Miloš, Jovanović Tanja
doaj   +1 more source

Regularity for commutators of the local multilinear fractional maximal operators

Advances in Nonlinear Analysis, 2020
In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above
Zhang Xiao, Liu Feng
doaj   +1 more source

Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

Advances in Nonlinear Analysis, 2021
This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
doaj   +1 more source

Global boundedness of a class of multilinear Fourier integral operators

Forum of Mathematics, Sigma, 2021
We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López, David Rule, Wolfgang Staubach   +2 more
doaj   +1 more source

Inequalities for generalized parametric Marcinkiewicz integrals along polynomial compound curves

, 2020
Under some weaker size conditions assumed on the integral kernels both on the unit sphere and in the radial directions, the sharp Lp boundedness was proved for the generalized parametric Marcinkiewicz integrals along polynomial compound curves via an ...
Feng Liu, Zun ei Fu, Liguang Wang
semanticscholar   +1 more source

Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces

Open Mathematics
In this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.
Zhang Pu, Ağcayazı Müjdat
doaj   +1 more source