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

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

ISBN-10: 3034805152

ISBN-13: 9783034805155

ISBN-10: 3034805160

ISBN-13: 9783034805162

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 idea. specific awareness is paid to fractional integrals and derivatives, singular, hypersingular and power operators in variable exponent areas, pseudodifferential operators in numerous sleek functionality and distribution areas, in addition to similar purposes, to say yet a number of. so much contributions have been to start with provided in meetings at Lisbon and Aveiro, Portugal, in June‒July 2011.

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Extra resources for Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume

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A. G. I. Marichev, 70th anniversary of Professor Rudolf Gorenflo. Fract. Calc. Appl. Anal. 3:4 (2000), 339–342. Stefan G. Samko – Mathematician, Teacher and Man 39 [61] V. Kokilashvili, A. , On the inversion and characterization of the Riesz potentials in the weighted 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).

J. Function Spaces and Applic. 4:2 (2006), 113–144. [5] A. Almeida and S. Samko, Pointwise inequalities in variable Sobolev spaces and applications. Z. Anal. Anwend. 26:2 (2007), 179–193. [6] A. Almeida and S. 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.

22 V. Kokilashvili The next natural step was the extension of the developed technique of weighted estimation of operators to the case of more general settings when the underlying space is an arbitrary quasimetric measure space (????, ????, ????) equipped with a quasidistance ????(????, ????) and a Borel measure ????. 11) may be also admitted as well as the case of the oscillating radial type weights. In [77], 2007 and [82], 2008 there was proved a certain ????(⋅) → ????(⋅)-version ????(⋅) of Rubio de Francia’s extrapolation theorem for weighted spaces ???????? on metric measure spaces.

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Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume by V. Kokilashvili (auth.), Alexandre Almeida, Luís Castro, Frank-Olme Speck (eds.)

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