ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2017, Vol 3, Issue
Abstract
We present some new sharp estimates concerning distance function in some new mixed norm and Lizorkin-Triebel type spaces in the unit ball.This leads at the same time to direct generalizations of our recent results on extremal problems in such Bergman type spaces. In addition new sharp results in this direction in Hardy-Morrey, and some new weighted Hardy classes in the unit ball and mixed norm Hardy type spaces and Herz type spaces in polyball will be provided and discussed.
Authors and Affiliations
Romi Shamoyan, Serafim Maksakov
Keywords
Related Articles
- EP ID EP494782
- DOI 10.18454/2079-6641-2017-19-3-25-49
- Views 86
- Downloads 0
ON THE CONNECTION OF VARIATIONS OF THE VELOCITY OF THE EARTH ROTATION AND ITS SEISMIC ACTIVITY. THE EARTH‘S ENTRY INTO A NEW PHASE OF REDUCING OF THE ANGULAR VELOCITY ROTATION
Earth’s seismic activity demonstrates a distinct nonuniformity (heterogeneity) both in space and in time. The periods of intensification of seismic activity (SA) are followed by periods of its decline. Strengthening the...
AN ESTIMATE FOR THE FUNDAMENTAL SOLUTION OF HIGH ORDER PARABOLIC EQUATION WITH RIEMANN-LIOUVILLE DERIVATIVE WITH RESPECT TO THE TIME VARIABLE
In this paper we derived an estimate for the fundamental solution of high order parabolic equation with time fractional derivative.
SAVE THE THIRD ADIABATIC INVARIANTS OF MOTION IN THE EQUATORIAL PLANE MAGNETIC FIELD WITH A WEAK AXIAL ASYMMETRY
The question of preservation of the third adiabatic invariant motion of charged particles vII = 0 (equatorial plane) in the flow and the canonical form in magnetic fields having a weak asymmetry. Go to rotating with the...
OPTIMIZATION OF ADAPTIVE MATCHING PURSUIT METHOD TO ANALYZE GEOACOUSTIC EMISSION SIGNALS
The paper is devoted to the development and comparison of different numerical methods which increase the adaptive property and improve the accuracy of matching pursuit algorithm in connection to geoacoustic signals. At e...
GEOMAGNETICINDUCED CURRENTSIN ELECTRIC POWER SYSTEMS
On the example of the local powergrid of Kamchatka shows the relationship between the magnitude of industrial current harmonics and variations of Earth’s magnetic field. Shows dependence of mechanism of geomagnetically i...