Точность констант логарифмических неравенств типа Харди в открытых многомерных областях
Copyright policy )Точность констант логарифмических неравенств типа Харди в открытых многомерных областях
Исследуются многомерные неравенства типа Харди в произвольных областях евклидова пространства. Установлена точность констант в том случае, когда внутренний радиус области конечен, а вес содержит степени и кратные логарифмы функции расстояния до границы области.Multidimensional Hardy-type inequalities in arbitrary domains of the Euclidean space are investigated. Accuracy of the constants is established in the case when the inner radius of the domain is finite, and the weight function contains degrees and the multiple logarithms of the function of the distance to the domain's boundary.
НЕРАВЕНСТВА ТИПА ХАРДИ,HARDY-TYPE INEQUALITIES,ЛОГАРИФМИЧЕСКАЯ ОСОБЕННОСТЬ,LOGARITHMIC SINGULARITY,ТОЧНОСТЬ КОНСТАНТ,ACCURACY OF CONSTANTS,ФУНКЦИЯ РАССТОЯНИЯ,DISTANCE FUNCTION
НЕРАВЕНСТВА ТИПА ХАРДИ,HARDY-TYPE INEQUALITIES,ЛОГАРИФМИЧЕСКАЯ ОСОБЕННОСТЬ,LOGARITHMIC SINGULARITY,ТОЧНОСТЬ КОНСТАНТ,ACCURACY OF CONSTANTS,ФУНКЦИЯ РАССТОЯНИЯ,DISTANCE FUNCTION
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