Summation of Fourier series.
Weisz, Ferenc (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Weisz, Ferenc (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Samko, S.G., Mussalaeva, Z.U. (1994)
Georgian Mathematical Journal
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Liu, Lanzhe (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Rakotondratsimba, Y. (1998)
Georgian Mathematical Journal
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Gát, György (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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A. Gatto, Stephen Vági (1993)
Colloquium Mathematicae
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In this paper we show that the fractional integral of order α on spaces of homogeneous type embeds into a certain Orlicz space. This extends results of Trudinger [T], Hedberg [H], and Adams-Bagby [AB].
Rakotondratsimba, Y. (1998)
Georgian Mathematical Journal
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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.
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...
Tateoka, Jun (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Nagy, Károly (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Schipp, Ferenc (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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