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The Riemann boundary value problem in the class of Cauchy type integrals with densities of grand variable exponent Lebesgue spaces

Georgian Mathematical Journal, 2016
Abstract The present paper deals with the Riemann boundary value problem for analytic functions in the framework of the new function spaces introduced by the first two authors, the so-called grand variable exponent Lebesgue spaces which unify two non-standard type function spaces: variable exponent Lebesgue spaces and grand Lebesgue ...
Vakhtang Kokilashvili, Alexander Meskhi
exaly   +3 more sources

Boundedness of Parametric Marcinkiewicz Integral Operator on Grand Variable Exponent Herz Spaces

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kainat, Azka   +2 more
openaire   +2 more sources

Extrapolation results on variable exponent grand Lebesgue space with Bp(·)$B_{p(\cdot)}$ weights

Mathematische Nachrichten
AbstractIn this paper, we study Rubio de Francia extrapolation theorems in the framework of the variable grand Lebesgue spaces with weights. As an application of the extrapolation theorems, we prove the boundedness of the Hardy averaging operator and the fractional Riemann Liouville transform for nonnegative and nonincreasing measurable functions ...
openaire   +1 more source

Grand Variable Exponent Function Spaces

Vakhtang Kokilashvili   +3 more
openaire   +1 more source

Embeddings and related topics in grand variable exponent Haj2asz-Morrey-Sobolev spaces

Mathematical Inequalities & Applications
David E. Edmunds   +2 more
openaire   +1 more source

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