Some generalization of weighted norm inequalities for certain class of integral operators

K. Rauf; C. O. Imoru

Displaying similar documents to “Some generalization of weighted norm inequalities for certain class of integral operators”

Weight inequalities for singular integrals defined on spaces of homogeneous and nonhomogeneous type.

Edmunds, D.E., Kokilashvili, V., Meskhi, A. (2001)

Georgian Mathematical Journal

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Solution of two-weight problems for integral transforms with positive kernels.

Genebashvili, I., Gogatishvili, A., Kokilashvili, V. (1996)

Georgian Mathematical Journal

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Solution of some weight problems for the Riemann-Liouville and Weyl operators.

Meskhi, A. (1998)

Georgian Mathematical Journal

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The algebra generated by a pair of operator weighted shifts

Marek Ptak (1995)

Annales Polonici Mathematici

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We present a model for two doubly commuting operator weighted shifts. We also investigate general pairs of operator weighted shifts. The above model generalizes the model for two doubly commuting shifts. WOT-closed algebras for such pairs are described. We also deal with reflexivity for such pairs assuming invertibility of operator weights and a condition on the joint point spectrum.

On weighted inequalities for operators of potential type

Shiying Zhao (1996)

Colloquium Mathematicae

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In this paper, we discuss a class of weighted inequalities for operators of potential type on homogeneous spaces. We give sufficient conditions for the weak and strong type weighted inequalities sup_{λ>0} λ|{x ∈ X : |T(fdσ)(x)|>λ }|_{ω}^{1/q} ≤ C (∫_{X} |f|^{p}dσ)^{1/p} and (∫_{X} |T(fdσ)|^{q}dω )^{1/q} ≤ C (∫_X |f|^{p}dσ )^{1/p} in the cases of 0 < q < p ≤ ∞ and 1 ≤ q < p < ∞, respectively, where T is an operator of potential type, and ω and σ are Borel measures on...