39 research outputs found
On some extremal problems in certain harmonic function spaces of several variables related to mixed norm spaces
We provide some new estimates for distances in harmonic function spaces of
several variables related to mixed norm spaces.Some of them extend previously
known assertions in this direction in the unit ball and upperhalfspace.Comment: 11 page
Some remarks on Hp,s analytic function spaces in the unit disk and related estimates
We prove new projection theorems involving certain Hardy-Lorentz analytic function spaces based on Lorentz classes on the unit circle which are related to p-Carleson type measures. We also study the action of fractional derivative in related analytic spaces in the unit disk partially extending previously known assertions
Sharp theorems on multipliers in harmonic function spaces in higher dimension
Abstract is available in the PDF file
Sharp Theorems on Multipliers and Distances in Harmonic Function Spaces in Higher Dimension
We present new sharp results concerning multipliers and distance estimates in various spaces of harmonic
functions in the unit ball of Rn.Представляются новые точные результаты, связанные с мульпликаторами и оценками рассто-
яния в различных пространствах гармонических функций в единичном шаре из Rn