Results 51 to 60 of about 3,337 (162)
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 +2 more
wiley +1 more source
, 2015 In this paper, we establish a weighted sharp maximal function estimate for the commutator associated with the singular integral operator satisfying a variant of Hörmander’s condition.
Xiao ha Zhou
semanticscholar +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
Journal of Mathematical Study, 2020 In this paper we prove an O’Neil inequality for the convolution operator (G-convolution) associated with the Gegenbauer differential operator Gλ. By using an O’Neil inequality for rearrangements we obtain a pointwise rearrangement estimate of the G ...
Vagif S. Guliyev sci
semanticscholar +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
Inequalities for generalized parametric Marcinkiewicz integrals along polynomial compound curves
, 2020 Under some weaker size conditions assumed on the integral kernels both on the unit sphere and in the radial directions, the sharp Lp boundedness was proved for the generalized parametric Marcinkiewicz integrals along polynomial compound curves via an ...
Feng Liu, Zun ei Fu, Liguang Wang
semanticscholar +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
Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications
Open Mathematics, 2023 In this article, we introduce anisotropic mixed-norm Herz spaces K˙q→,a→α,p(Rn){\dot{K}}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb{R}}}^{n}) and Kq→,a→α,p(Rn){K}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb ...
Zhao Yichun, Zhou Jiang
doaj +1 more source