Results 11 to 18 of about 18 (18)

Littlewood‐Paley characterization for Campanato spaces

Journal of Function Spaces, Volume 4, Issue 2, Page 193-220, 2006., 2006
The Littlewood‐Paley characterization for the local approximation Campanato spaces Lpα is well known in the cases α ≥ 0 and α=−np. We give in this paper a characterization of such a type for L2α spaces (and for Morrey‐Campanato spaces L2,λ) for any α≥−n2.
Azzeddine El Baraka, Hans Triebel
wiley   +1 more source

Boundedness of multilinear operators on Triebel‐Lizorkin spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 5, Page 259-271, 2004., 2004
The purpose of this paper is to study the boundedness in the context of Triebel‐Lizorkin spaces for some multilinear operators related to certain convolution operators. The operators include Littlewood‐Paley operator, Marcinkiewicz integral, and Bochner‐Riesz operator.
Liu Lanzhe
wiley   +1 more source

Continuity for some multilinear operators of integral operators on Triebel‐Lizorkin spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 38, Page 2039-2047, 2004., 2004
The continuityfor some multilinear operators related to certain fractional singular integral operators on Triebel‐Lizorkin spaces is obtained. The operators include Calderon‐Zygmund singular integral operator and fractional integral operator.
Liu Lanzhe
wiley   +1 more source

Rough singular integrals on product spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 67, Page 3671-3684, 2004., 2004
We study the mapping properties of singular integral operators defined by mappings of finite type. We prove that such singular integral operators are bounded on the Lebesgue spaces under the condition that the singular kernels are allowed to be in certain block spaces.
Ahmad Al-Salman, Hussain Al-Qassem
wiley   +1 more source

Marcinkiewicz integrals along subvarieties on product domains

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 4001-4011, 2004., 2004
We study the Lp mapping properties of a class of Marcinkiewicz integral operators on product domains with rough kernels supported by subvarieties.
Ahmad Al-Salman
wiley   +1 more source

Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 87-96, 2003., 2003
The boundedness for the multilinear Marcinkiewicz operators on certain Hardy and Herz‐Hardy spaces are obtained.
Liu Lanzhe
wiley   +1 more source

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

Rough Marcinkiewicz integral operators

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 495-503, 2001., 2001
We study the Marcinkiewicz integral operator M𝒫f(x)=(∫−∞∞|∫|y|≤2tf(x−𝒫(y))(Ω(y)/|y|n−1)dy|2dt/22t)12/, where 𝒫 is a polynomial mapping from ℝn into ℝd and Ω is a homogeneous function of degree zero on ℝn with mean value zero over the unit sphere Sn−1. We prove an Lp boundedness result of M𝒫 for rough Ω.
Hussain Al-Qassem, Ahmad Al-Salman
wiley   +1 more source