共查询到20条相似文献,搜索用时 11 毫秒
1.
In this paper, the boundedness of the commutator generated by strongly singular Calderón-Zygmund operator and a Lipschitz
function is discussed on the classical Hardy spaces and the Herz-type Hardy spaces. The authors also get the boundedness of
the strongly singular Calderón-Zygmund operator itself and the commutator generated by strongly singular Calderón-Zygmund
operator and a BMO function on the Herz-type Hardy spaces. 相似文献
2.
In this paper, we obtain a sufficient condition for two-weight weak
type norm inequality for the commutators of fractional integral
,
where
and
. 相似文献
3.
Let be a Radon measure on
which may be non-doubling. The only condition that must satisfy is
for all
and for some fixed
In this paper, under this assumption, the Lp()-boundedness (1 < p < ) and certain weak type endpoint estimate are established for multilinear commutators, which are generated by Calderón-Zygmund singular integrals with RBMO() functions or with
functions for r 1, where
is a space of Orlicz type satisfying that
if r = 1 and
if r > 1. 相似文献
4.
We will give some conditions for Sobolev spaces on bounded Lipschitz domains to admit only trivial isometries. 相似文献
5.
Canqin Tang 《Integral Equations and Operator Theory》2007,59(2):257-267
The CBMO estimates for commutators of fractional integral and Multilinear fractional integral operators with rough kernel
are established.
This work was completed with the support of Hunan Provincial Natural Science Foundation of China 06A0074. 相似文献
6.
Michał Wojtylak 《Integral Equations and Operator Theory》2007,59(1):129-147
The commutators of 2 × 2 block operator matrices with (unbounded) operator entries are investigated. The matrix representation
of a symmetric operator in a Krein space is exploited. As a consequence, the domination result due to Cichoń, Stochel and
Szafraniec is extended to the case of Krein spaces. 相似文献
7.
L
p
mapping properties will be established in this paper for singular Radon transforms with rough kernels defined by translated of a real-analytic submanifold in R
n
.Work in this paper was done during the second author's visit at the Department of Mathematics, University of Pittsburgh.Supported in part by NSF Grant DMS-9622979. 相似文献
8.
Tengizi S. Kopaliani 《Positivity》2006,10(3):467-474
Let X be a Banach function space, L∞ [0, 1] ⊂ X ⊂ L1[0, 1]. It is proved that if dual space of X has singularity property in closed set E ⊂ [0, 1] then: 1) there exists no orthonormal basis in C[0, 1], which forms an unconditional basis in X in metric of L1[0, 1] space, 2) for the Hardy-Littlewood maximal operator M we have 相似文献
9.
We study the boundedness and compactness of commutators
on
, where
and
are defined by
and
respectively. If
satisfies some upper and lower estimates, then we obtain a necessary and sufficient condition
for
to be bounded or compact on
for
.
The reproducing kernel of the harmonic Bergman space of
can be shown
to satisfy all the required estimates. Our result is the real variable analogue
of the complex variable one for commutators associated with an analytic reproducing
kernel. 相似文献
10.
Estimates of Marcinkiewicz Integrals with Bounded Homogeneous Kernels of Degree Zero 总被引:2,自引:0,他引:2
Under the cancellation property and a certain Dini-type condition
on kernels, we prove that Marcinkiewicz integrals with kernels which are homogeneous
functions of degree zero, are bounded from
to
,
from
to
, and from
to
for
. 相似文献
11.
In this paper, we study two-weight norm inequalities for operators of potential type in homogeneous spaces. We improve some of the results given in [6] and [8] by significantly weakening their hypotheses and by enlarging the class of operators to which they apply. We also show that corresponding results of Carleson type for upper half-spaces can be derived as corollaries of those for homogeneous spaces. As an application, we obtain some necessary and sufficient conditions for a large class of weighted norm inequalities for maximal functions under various assumptions on the measures or spaces involved.Research of the first author was supported in part by NSERC grant A5149.Research of the second author was supported in part by NSF grant DMS93-02991. 相似文献
12.
The Bochner-Martinelli (B.-M.) kernel inherits, forn2, only some of properties of the Cauchy kernel in . For instance it is known that the singular B.-M. operatorM
n
is not an involution forn2. M. Shapiro and N. Vasilevski found a formula forM
2
2
using methods of quaternionic analysis which are essentially complex-twodimensional. The aim of this article is to present a formula forM
n
2
for anyn2. We use now Clifford Analysis but forn=2 our formula coincides, of course, with the above-mentioned one. 相似文献
13.
In this paper we find invariant subspaces of certain positive quasinilpotent operators on Krein spaces and, more generally,
on ordered Banach spaces with closed generating cones. In the later case, we use the method of minimal vectors. We present
applications to Sobolev spaces, spaces of differentiable functions, and C*-algebras.
相似文献
14.
Andrei K. Lerner 《Archiv der Mathematik》2005,85(6):538-543
We show that the Hardy-Littlewood maximal operator and a class of Calderón-Zygmund singular integrals satisfy the strong type
modular inequality in variable Lp spaces if and only if the variable exponent p(x) ∼ const.
Received: 15 September 2004 相似文献
15.
Joonil Kim 《Mathematische Zeitschrift》2008,258(2):271-290
Let {X
j
, Y
j
, T : 1 ≤ j ≤ n} be a basis satisfying the commutation relation for the Heisenberg Lie algebra . Then we obtain a multi-parameter Marcinkiewicz multiplier theorem for the operator defined by m(X
1,..., X
n
, Y
1,..., Y
n
, T). 相似文献
16.
In this paper we prove the O’Neil inequality for the k-linear convolution f ⊗ g. By using the O’Neil inequality for rearrangements we obtain a pointwise rearrangement estimate of the k-linear convolution. As an application, we obtain necessary and sufficient conditions on the parameters for the boundedness
of the k-sublinear fractional maximal operator M
Ω, α and k-linear fractional integral operator I
Ω, α with rough kernels from the spaces
V.S. Guliyev partially supported by the grant of INTAS (project 05-1000008-8157). 相似文献
17.
In direct sum spaces with inner product multiples, we study two-interval Sturm–Liouville problems. For singular problems,
we generate self-adjoint realizations for boundary conditions with any real coupling matrix whose determinant is positive.
This contrasts with the usual theory which requires the coupling matrix to have determinant one.
This paper is in final form and no version of it will be submitted for publication elsewhere.
Received: September 28, 2006. 相似文献
18.
Huoxiong Wu 《Integral Equations and Operator Theory》2005,52(2):285-298
This paper is devoted to the study on the Lp-mapping properties of Marcinkiewicz integral operators with rough kernels along “polynomial curves” on
The
boundedness of the Marcinkiewicz integrals for some fixed 1 < p < ∞ are obtained under some size conditions, which essentially improve or extend some well-known results. 相似文献
19.
Joeri Van der Veken 《Results in Mathematics》2008,51(3-4):339-359
We give a full classification of higher order parallel surfaces in three-dimensional homogeneous spaces with four-dimensional
isometry group, i.e., in the so-called Bianchi–Cartan–Vranceanu family. This gives a positive answer to a conjecture formulated
in [2]. As a partial result, we prove that totally umbilical surfaces only exist if the ambient Bianchi–Cartan–Vranceanu space
is a Riemannian product of a surface of constant Gaussian curvature and the real line, and we give a local parametrization
of all totally umbilical surfaces.
Received: December 20, 2006. Revised: March 15, 2007. 相似文献