4 research outputs found
Zygmund-type estimates for fractional integration and differentiation operators of variable order
Atomic Decompositions of Hardy Spaces with Variable Exponents and its Application to Bounded Linear Operators
On Some Classical Operators of Variable Order in Variable Exponent Spaces
We give a survey of a selection of recent results on weighted and non-weighted estimations of classical operators of Harmonic Analysis in variable exponent Lebesgue, Morrey and Hölder spaces, based on the talk presented at International Conference Analysis, PDEs and Applications on the occasion of the 70th birthday of Vladimir Maz’ya, Rome, June 30–July 3, 2008. We touch both the Euclidean case and the general setting within the frameworks of quasimetric measure spaces. Some of the presented results are new