119 research outputs found
Some estimates of intrinsic square functions on weighted Herz-type Hardy spaces
In this paper, by using the atomic decomposition theory of weighted Herz-type
Hardy spaces, we will obtain some strong type and weak type estimates for
intrinsic square functions including the Lusin area function, Littlewood-Paley
-function and -function on these spaces.Comment: 25 pages. arXiv admin note: substantial text overlap with
arXiv:1210.5795, arXiv:1010.0862, arXiv:1009.6142, arXiv:1102.4380,
arXiv:1111.1387, arXiv:1103.171
Boundedness for fractional Hardy-type operator on Herz-Morrey spaces with variable exponent
In this paper, the fractional Hardy-type operator of variable order
is shown to be bounded from the Herz-Morrey spaces
with
variable exponent into the weighted space
,
where with some and when is not necessarily
constant at infinity. It is assumed that the exponent satisfies
the logarithmic continuity condition both locally and at infinity that .Comment: 13 page
Boundedness for fractional Hardy-type operator on variable exponent Herz-Morrey spaces
In this paper, the fractional Hardy-type operator of variable order
is shown to be bounded from the variable exponent Herz-Morrey spaces
into the
weighted space
,
where be log-H\"older continuous both
at the origin and at infinity, with some
and when
is not necessarily constant at infinity.Comment: 14 pages, Kyoto J. Math.(In Press). arXiv admin note: substantial
text overlap with arXiv:1404.163
Spectra of Bochner-Riesz means on
The Bochner-Riesz means are shown to have either the unit interval or
the whole complex plane as their spectra on $L^p, 1\le p<\infty
Fractional integrals and Fourier transforms
This paper gives a short survey of some basic results related to estimates of
fractional integrals and Fourier transforms. It is closely adjoint to our
previous survey papers \cite{K1998} and \cite{K2007}. The main methods used in
the paper are based on nonincreasing rearrangements. We give alternative proofs
of some results.
We observe also that the paper represents the mini-course given by the author
at Barcelona University in October, 2014.Comment: 42 page
Commutators of integral operators with variable kernels on Hardy spaces
Let \T (0\leq \alpha be the singular and fractional integrals with
variable kernel , and [b,\T] be the commutator generated by \T
and a Lipschitz function . In this paper, the authors study the boundedness
of [b,\T] on the Hardy spaces, under some assumptions such as the -Dini
condition. Similar results and the weak type estimates at the end-point cases
are also given for the homogeneous convolution operators \tT (0\leq \alpha
. The smoothness conditions imposed on \tOmega are weaker than the
corresponding known results.Comment: 12 page
Multilinear Hausdorff operators on some function spaces with variable exponent
The aim of the present paper is to give necessary and sufficient conditions
for the boundedness of a general class of multilinear Hausdorff operators that
acts on the product of some weighted function spaces with variable exponent
such as the weighted Lebesgue, Herz, central Morrey and Morrey-Herz type spaces
with variable exponent. Our results improve and generalize some previous known
results.Comment: 36 page
Weighted norm inequalities for rough Hausdorff operator and its commutators on the Heisenberg group
The aim of this paper is to study the sharp bounds of rough Hausdorff
operators on the product of Herz, central Morrey and Morrey-Herz spaces with
both power weights and Muckenhoupt weights on the Heisenberg group. Especially,
by applying the block decomposition of the Herz space, we obtain the
boundedness of rough Hausdorff operator in the case 0 < p < 1. In addition, the
boundedness for the commutators of rough Hausdorff operators on such spaces
with symbols in weighted central BMO space is also established.Comment: added Nguyen Minh Chuong as the first autho
Average operators on rectangular Herz spaces
We introduce a family or Herz type spaces considering rectangles instead of
balls and we study continuity properties of some average operators acting on
themComment: 11 page
Mixed means of commutators of central integral means and CMO
In this paper we obtain some mixed means and weighted estimates for the
commutators generating order central integral means operators with
functions.Comment: 9 page
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