排序方式: 共有38条查询结果,搜索用时 15 毫秒
21.
V.S. Guliyev M.N. Omarova M.A. Ragusa A. Scapellato 《Journal of Mathematical Analysis and Applications》2018,457(2):1388-1402
In this paper we study the behavior of Hardy–Littlewood maximal operator and the action of commutators in generalized local Morrey spaces and generalized Morrey spaces . 相似文献
22.
In this paper, the Lp(Rn)-boundedness of the commutators generalized by BMO(Rn) function and the singular integral operator T with rough kernel Ω∈ Llog+ L(Sn-1) is proved by using the Bony's formula for the paraproduct of two functions. 相似文献
23.
A.B. Aleksandrov 《Journal of Functional Analysis》2011,261(10):2741-2796
In Aleksandrov and Peller (2010) [2] we obtained general estimates of the operator moduli of continuity of functions on the real line. In this paper we improve the estimates obtained in Aleksandrov and Peller (2010) [2] for certain special classes of functions. In particular, we improve estimates of Kato (1973) [18] and show that
24.
In this paper, the authors give a characterization of the (L
p, λ
, L
q, λ
)-compactness for the Riesz potential commutator [b,I
α
]. More precisely, the authors prove that the commutator [b,I
α
] is a compact operator from the Morrey space L
p, λ
(ℝ
n
) to L
q, λ
(ℝ
n
) if and only if b ∈ VMO(ℝ
n
), the BMO-closure of .
The research was supported by NSF of China (Grant: 10571015, 10826046) and SRFDP of China (Grant: 20050027025). 相似文献
25.
26.
Pascal Auscher 《Journal of Functional Analysis》2006,241(2):703-746
This is the third part of a series of four articles on weighted norm inequalities, off-diagonal estimates and elliptic operators. For L in some class of elliptic operators, we study weighted norm Lp inequalities for singular “non-integral” operators arising from L; those are the operators φ(L) for bounded holomorphic functions φ, the Riesz transforms ∇L−1/2 (or (−Δ)1/2L−1/2) and its inverse L1/2(−Δ)−1/2, some quadratic functionals gL and GL of Littlewood-Paley-Stein type and also some vector-valued inequalities such as the ones involved for maximal Lp-regularity. For each, we obtain sharp or nearly sharp ranges of p using the general theory for boundedness of Part I and the off-diagonal estimates of Part II. We also obtain commutator results with BMO functions. 相似文献
27.
28.
A. Algaba 《Journal of Mathematical Analysis and Applications》2009,355(2):564-576
We consider two-dimensional autonomous systems of differential equations
29.
Thierry Fack 《Journal of Functional Analysis》2004,207(2):358-398
Let M be a II∞-factor and denote by τ its normal faithful semi-finite trace. For any rearrangement invariant Köthe function space X on [0,+∞[, let X(M,τ) be the associated non-commutative Banach function space. This paper is concerned with ideals in M of the form IX(M,τ)=M∩X(M,τ) that are contained in Lp(M,τ) for some p>0. It is proved that an element T in IX(M,τ) is a finite sum of commutators of the form [A,B] with A∈IX(M,τ) and B∈M if and only if the function belongs to X, where νT is the Brown spectral measure of T and t→λt(T) is the non-increasing rearrangement of the function λ→|λ| with respect to νT. This extends to general Banach function spaces a result obtained by Kalton for quasi-Banach ideals of compact operators and implies that the Dixmier's trace of a quasi-nilpotent element in L1,∞(M,τ) is always zero. 相似文献
30.
Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type 下载免费PDF全文
Hung Viet Le 《分析论及其应用》2022,38(2):204-231
In this article, we obtain some weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type. The weight $\omega$ considered here belongs to the Muckenhoupt’s class $A_∞.$ Moreover, weighted estimates for commutators of BMO functions and Marcinkiewicz integrals are also given. 相似文献