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 get together of his 70th birthday. The contributions reveal the variety of his medical pursuits in harmonic research and operator conception. specific cognizance is paid to fractional integrals and derivatives, singular, hypersingular and power operators in variable exponent areas, pseudodifferential operators in a number of smooth functionality and distribution areas, in addition to similar functions, to say yet a number of. so much contributions have been to begin with awarded in meetings at Lisbon and Aveiro, Portugal, in June‒July 2011.

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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. [12] L. Ephremidze, V. Kokilashvili, and S.

Funct. , 2011, to appear. 42 V. Kokilashvili [108] H. Rafeiro and S. Samko, On multidimensional analogue of Marchaud formula for fractional Riesz-type derivatives in domains in ???????? . Fract. Calc. and Appl. Anal. 8:4 (2005), 393–401. [109] H. Rafeiro and S. Samko, On a class of fractional type integral equations in variable exponent spaces. Fract. Calc. Appl. Anal. 10:4 (2007), 399–421. [110] H. Rafeiro and S. Samko, Approximative method for the inversion of the Riesz potential operator in variable Lebesgue spaces.

Memoirs on Differential Equations and Mathematical Physics, 29 (2003), 31–45. [62] V. Kokilashvili, V. , Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in ????????(⋅) (Γ). Bound. Value Probl. 2005:1 (2005), 43–71. [63] V. Kokilashvili, V. , Boundedness in Lebesgue spaces with variable exponent of the Cauchy singular operators on Carleson curves. In Ya. Erusalimsky, I. Gohberg, S. Grudsky, V. Rabinovich, and N. Vasilevski, editors, “Operator Theory: Advances and Applications”, dedicated to the 70th birthday of Prof.

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