Advances in Harmonic Analysis and Operator Theory: The by V. Kokilashvili (auth.), Alexandre Almeida, Luís Castro,

By V. Kokilashvili (auth.), Alexandre Almeida, Luís Castro, Frank-Olme Speck (eds.)

This quantity is devoted to Professor Stefan Samko at the social gathering of his 70th birthday. The contributions show the variety of his medical pursuits in harmonic research and operator thought. specific awareness 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, in addition to comparable functions, to say yet a couple of. such a lot contributions have been to begin with offered in meetings at Lisbon and Aveiro, Portugal, in June‒July 2011.

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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. J. of Integral Equat. Appl. 20:4 (2008), 437– 480. [10] L. Diening and S. Samko, Hardy inequality in variable exponent Lebesgue spaces. Frac. Calc. Appl. Anal. 10:1 (2007), 1–18. [11] L. Diening and S. Samko, On potentials in generalized H¨ older spaces over uniform domains ???????? . Revista Matem. , 2011. 1007/s13163-010-0043-6.

G. Samko, Essential spectra of pseudodifferential operators in Sobolev spaces with variable smoothness and variable Lebesgue indices. Doklady Akademii Nauk 417:2 (2007), 167–170. Transl. in Doklady Mathematics 76:3 (2007), 835–838. S. G. Samko, Boundedness and Fredholmness of pseudodifferential operators in variable exponent spaces. Integr. Eq. Oper. Theory 60:4 (2008), 507–537. S. G. Samko, PDO approach to singular integral operators in weighted variable exponent Lebesgue spaces on Carleson curves.

Funct. 8:1-2 (1999), 1–2. [19] R. Gorenflo and S. Samko, On the dependence of asymptotics of ????-numbers of fractional integration operators on weight functions. Integral Transform. Spec. Funct. 5:3-4 (1997), 191–212. [20] V. Guliev, J. Hasanov, and S. Samko, Boundedness of the maximal, potential and singular integral operators in the generalized variable exponent Morrey spaces ???? ????(⋅),????(⋅),????(⋅) (Ω). J. Math. Sci. 170:4 (2010), 1–21. [21] V. Guliev, J. Hasanov, and S. Samko, Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces.

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