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Displaying similar documents to “Modified dyadic derivatives and integrals of fractional order on R + .”

Summation of Fourier series.

Weisz, Ferenc (2004)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω

Karapetyants, Nikolai, Samko, Natasha (2004)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 26A16, 26A33, 46E15. There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder spaces Hω0(ρ) of functions with a given dominant ω of their continuity modulus.

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...

On orthonormal product systems.

Schipp, Ferenc (2004)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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