The maximal function on variable  spaces.

Cruz-Uribe, D.; Firorenza, A.; Neugebauer, C. J.

Displaying similar documents to “The maximal function on variable $L^{p}$ spaces.”

Corrections to “The maximal function on variable $L^{p}$ spaces".

Cruz-Uribe, D., Fiorenza, A., Neugebauer, C.J. (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

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The boundedness of classical operators on variable $L^{p}$ spaces.

Cruz-Uribe, D., Fiorenza, A., Martell, J.M., Pérez, C. (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

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The boundedness of multilinear commutators of singular integrals on Lebesgue spaces with variable exponent

Jingshi Xu (2007)

Czechoslovak Mathematical Journal

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The boundednees of multilinear commutators of Calderón-Zygmund singular integrals on Lebesgue spaces with variable exponent is obtained. The multilinear commutators of generalized Hardy-Littlewood maximal operator are also considered.

Some estimates of Schrödinger-type operators with certain nonnegative potentials.

Liu, Yu, Ding, Youzheng (2008)

International Journal of Mathematics and Mathematical Sciences

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Weak solutions for elliptic systems with variable growth in Clifford analysis

Yongqiang Fu, Binlin Zhang (2013)

Czechoslovak Mathematical Journal

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In this paper we consider the following Dirichlet problem for elliptic systems: $\begin{matrix} \bar{D A (x, u (x), D u (x))} = & B (x, u (x), D u (x)), x \in Ω, u (x) = & 0, x \in \partial Ω, \end{matrix}$ where $D$ is a Dirac operator in Euclidean space, $u (x)$ is defined in a bounded Lipschitz domain $Ω$ in $ℝ^{n}$ and takes value in Clifford algebras. We first introduce variable exponent Sobolev spaces of Clifford-valued functions, then discuss the properties of these spaces and the related operator theory in these spaces. Using the Galerkin method, we obtain the existence of weak solutions to the scalar part of the...

Boundedness on Hardy-Sobolev spaces for hypersingular Marcinkiewicz integrals with variable kernels.

Tao, Xiangxing, Yu, Xiao, Zhang, Songyan (2008)

Journal of Inequalities and Applications [electronic only]

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Displaying similar documents to “The maximal function on variable L p spaces.”

Corrections to “The maximal function on variable L p spaces".

The boundedness of classical operators on variable L p spaces.

The boundedness of multilinear commutators of singular integrals on Lebesgue spaces with variable exponent

Some estimates of Schrödinger-type operators with certain nonnegative potentials.

Weak solutions for elliptic systems with variable growth in Clifford analysis

Boundedness on Hardy-Sobolev spaces for hypersingular Marcinkiewicz integrals with variable kernels.

Displaying similar documents to “The maximal function on variable $L^{p}$ spaces.”

Corrections to “The maximal function on variable $L^{p}$ spaces".

The boundedness of classical operators on variable $L^{p}$ spaces.