Results 31 to 40 of about 1,510 (104)
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
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
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Zygmund inequality of the conjugate function on Morrey-Zygmund spaces
Demonstratio Mathematica, 2019 We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
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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
θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space
Open Mathematics, 2018 The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
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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
Sharp smoothing properties of averages over curves
Forum of Mathematics, Pi, 2023 We prove sharp smoothing properties of the averaging operator defined by convolution with a measure on a smooth nondegenerate curve $\gamma $ in $\mathbb R^d$ , $d\ge 3$ .
Hyerim Ko, Sanghyuk Lee, Sewook Oh
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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
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Variation inequalities related to Schrödinger operators on weighted Morrey spaces
Open Mathematics, 2019 This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain ...
Zhang Jing
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Forum of Mathematics, Sigma, 2021 We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein–Gordon and fractional Schrödinger equations.
Neal Bez, Sanghyuk Lee, Shohei Nakamura
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