Advances in harmonic analysis and operator theory : the by Alexandre Almeida, Luís Castro, Frank-Olme Speck

By Alexandre Almeida, Luís Castro, Frank-Olme Speck

This quantity is devoted to Professor Stefan Samko at the social gathering of his 70th birthday. The contributions reveal the variety of his medical pursuits in harmonic research and operator idea. specific attention is paid to fractional integrals and derivatives, singular, hypersingular and capability operators in variable exponent areas, pseudodifferential operators in a number of sleek functionality and distribution areas, besides as related purposes, to say yet a number of. so much contributions have been first of all offered in meetings at Lisbon and Aveiro, Portugal, in June‒July 2011.

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Advances in harmonic analysis and operator theory : the Stefan Samko anniversary volume

This quantity is devoted to Professor Stefan Samko at the get together of his 70th birthday. The contributions show the diversity of his medical pursuits in harmonic research and operator concept. specific attention is paid to fractional integrals and derivatives, singular, hypersingular and strength operators in variable exponent areas, pseudodifferential operators in numerous glossy functionality and distribution areas, besides as related purposes, to say yet a number of.

Extra info for Advances in harmonic analysis and operator theory : the Stefan Samko anniversary volume

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16:1 (1975), 35-48. 38 V. K. G. Samko, Singular integral operators with Carleman shift in the case of piece-wise continuous coefficients, I. (Russian) Izv. Vysch. Uchebn. , Matematika. 1975:2 (1975), 43–54. K. G. Samko, Singular integral operators with Carleman shift in the case of piece-wise continuous coefficients, II. (Russian) Izv. Vysch. Uchebn. , Matematika. 1975:3 (1975), 34–42. K. G. Samko, Investigation of Noether nature of linear equations with generalized involutive operators and its applications.

G. Samko, Fractional powers of the operator −∣????∣2 Δ in ???????? -spaces. Proc. A. Razmadze Math. Inst. 124 (2000), 1–22. [3] A. Almeida, J. Hasanov, and S. Samko, Maximal and potential operators in variable exponent Morrey spaces. Georgian Math. J. 15:2 (2008), 195–208. [4] A. Almeida and S. Samko, Characterization of Riesz and Bessel potentials on variable Lebesgue spaces. J. Function Spaces and Applic. 4:2 (2006), 113–144. [5] A. Almeida and S. Samko, Pointwise inequalities in variable Sobolev spaces and applications.

Samko, Embeddings of variable Hajlasz-Sobolev spaces into H¨ older spaces of variable order. J. Math. Anal. and Appl. 353 (2009), 489–496. [7] A. Almeida and S. Samko, Fractional and hypersingular operators in variable exponent spaces on metric measure spaces. Meditter. J. Math. 6 (2009), 215–232. [8] R. Cardoso and S. Samko, Sonine integral equations of the first kind of in ???????? (0, ????). Fract. Calc. and Appl. Anal. 6:3 (2003), 235–258. [9] R. Cardoso and S. Samko, Weighted generalized H¨ older spaces as well-posedness classes for Sonine integral equations.

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