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 clinical pursuits in harmonic research and operator idea. specific recognition is paid to fractional integrals and derivatives, singular, hypersingular and power operators in variable exponent areas, pseudodifferential operators in a number of glossy functionality and distribution areas, in addition to comparable purposes, to say yet a couple of. such a lot contributions have been first of all offered in meetings at Lisbon and Aveiro, Portugal, in June‒July 2011.
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Additional resources for Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume
In the case of constant ????, there was also proved the boundedness theorem in the limiting case ????(????) = ????−????(????) ????(????) , when the potential operator ???? ???? acts from ????????(⋅),????(⋅) into BMO. The results of the paper  found their development in the papers  and , 2010. 17), the fractional maximal operator ???? ????(????) ???? (????) ∫ ????(????) = sup????>0 ∣????(????, ????)∣ ???? −1 ????(????,????) ∣???? (????)∣????????, also of variable order ????(????) and Calder´ onZygmund type singular operator. For the potential operator there the generalizations of both the Spanne and Adams type results known for constant exponents and a generalization of the Sobolev-Adams exponent were obtained.
124 (2000), 73–106. K. G. Samko, Equations with Involutive Operators. Birkh¨ auser, Boston, 2001. K. G. Samko, On multi-dimensional integral equations of convolution type with shift. Integral Equations Operator Theory 39:3 (2001), 305– 328. K. G. Samko, Singular integral equations on the real line with homogeneous kernels and the inversion shift. J. Nat. Geom. 19:1-2 (2001), 1–26.  A. Karapetyants and S. Samko, Spaces BMO????(⋅) (????) of a variable exponent ????(????). Georgian Math. J. 17:3 (2010), 529–542.
5:3 (2007), 299–317.  V. Kokilashvili, N. Samko, and S. Samko, Singular operators in variable spaces ????????(⋅) (Ω, ????) with oscillating weights. Math. Nachr. 280:9-10 (2007), 1145–1156.  V. Kokilashvili and S. Samko, Maximal and Fractional Operators in Weighted ????????(????) Spaces. Proc. A. Razmadze Math. Inst. 129 (2002), 145–149.  V. Kokilashvili and S. Samko, Singular Integrals and Potentials in Some Banach Spaces with Variable Exponent. Proc. A. Razmadze Math. Inst. 129 (2002), 150–155.
Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume by V. Kokilashvili (auth.), Alexandre Almeida, Luís Castro, Frank-Olme Speck (eds.)