New bounds for  weights.

Radice, Teresa

Displaying similar documents to “New bounds for $A_{\infty}$ weights.”

Multidimensional integral inequalities with homogeneous weights.

Bârză, Sorina (2005)

General Mathematics

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

K. Rauf, C. O. Imoru (2002)

Kragujevac Journal of Mathematics

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Another weighted Ostrowski-grüss type inequality for twice differentiable mappings

Arif Rafiq, Farooq Ahmad (2008)

Kragujevac Journal of Mathematics

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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...