Results 21 to 30 of about 1,622 (105)

Atomic, molecular and wavelet decomposition of generalized 2‐microlocal Besov spaces

Journal of Function Spaces, Volume 8, Issue 2, Page 129-165, 2010., 2010
We introduce generalized 2‐microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2‐microlocal spaces are invariant under the action of pseudodifferential operators of order 0.
Henning Kempka, Hans Triebel
wiley   +1 more source

Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type

Analysis and Geometry in Metric Spaces, 2020
In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming, Li Ji, Pozzi Elodie, Vempati Manasa N.   +3 more
doaj   +1 more source

The Boundedness of Commutators of Singular Integral Operators with Besov Functions

Journal of Function Spaces, Volume 8, Issue 3, Page 245-256, 2010., 2010
In this paper, we prove the boundedness of commutator generated by singular integral operator and Besov function from some Ld to Triebel‐Lizorkin spaces.
Xionglue Gao, Bolin Ma, Vladimir D. Stepanov   +2 more
wiley   +1 more source

Two‐weight inequalities for singular integral operators satisfying a variant of Hörmander′s condition

Journal of Function Spaces, Volume 7, Issue 1, Page 43-59, 2009., 2009
In this paper, we present some sufficient conditions for the boundedness of convolution operators that their kernel satisfies a certain version of Hörmander′s condition, in the weighted Lebesgue spaces Lp,ω (ℝn).
Vagif S. Guliyev, Vakhtang Kokilashvili
wiley   +1 more source

The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space

Journal of Function Spaces, Volume 7, Issue 3, Page 241-250, 2009., 2009
In this paper, we study the boundedness of commutator [b, T] of Riesz transform associated with Schrödinger operator and b is BMO type function, note that the kernel of T has no smoothness, and the boundedness from Hb1(Rn)→L1(Rn) is obtained.
Canqin Tang, Chuanmei Bi, Vladimir Maz′ya   +2 more
wiley   +1 more source

Boundedness of vector-valued B-singular integral operators in Lebesgue spaces

Open Mathematics, 2017
We study the vector-valued B-singular integral operators associated with the Laplace-Bessel differential operator △B=∑k=1n−1∂2∂xk2+(∂2∂xn2+2vxn∂∂xn),v>0. $$\triangle_{B}=\sum\limits_{k=1}^{n-1}\frac{\partial^{2}}{\partial x_{k}^{2}}+(\frac{\partial^{2}}{\
Keles Seyda, Omarova Mehriban N.
doaj   +1 more source

Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights

Journal of Function Spaces, Volume 7, Issue 3, Page 301-311, 2009., 2009
Recently V. Kokilashvili, N. Samko, and S. Samko have proved a sufficient condition for the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights over Carleson curves. This condition is formulated in terms of Matuszewska‐Orlicz indices of weights. We prove a partial converse of their result.
Alexei Yu. Karlovich, Lech Maligranda
wiley   +1 more source

Boundedness of several operators on weighted Herz spaces

Journal of Function Spaces, Volume 7, Issue 1, Page 1-12, 2009., 2009
We consider the boundedness of singular integral operators and fractional integral operators on weighted Herz spaces. For this purpose we introduce generalized Herz space. Our results are the best possible.
Yasuo Komori, Katsuo Matsuoka, Hans Triebel   +2 more
wiley   +1 more source

A boundedness result for Marcinkiewicz integral operator

Open Mathematics, 2020
We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
doaj   +1 more source

Characterization of Riesz and Bessel potentials on variable Lebesgue spaces

Journal of Function Spaces, Volume 4, Issue 2, Page 113-144, 2006., 2006
Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that the exponent satisfies natural regularity conditions. As a consequence of this characterization, we
Alexandre Almeida, Stefan Samko, Vakhtang Kokilashvili   +2 more
wiley   +1 more source