estimates for capacities and traces of potentials

تقديراتٌ للسَّعاتِ وآثارِ الكُمونات

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ID: 213312
1984
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Abstract
It is shown that “isoperimetric” inequalities, relating measures and capacities, hold for all sets in ℝn if they are valid for all balls. As a corollary, the necessary and sufficient conditions for the continuity of some imbeddings of M. Riesz and Bessel potential spaces are obtained. The introduction contains a survey of known results on inequalities of Sobolev type.
تبيَّن أن المتباينات "متساوية المحيط"، التي تربط بين المقاييس والسعات، تصح لجميع المجموعات في ℝⁿ إذا كانت متحققة لجميع الكرات. وكنتيجة لذلك، تم الحصول على الشروط اللازمة والكافية لاتصال بعض تضمينات فضاءات جهد م. ريس وبيسل. وتتضمن المقدمة استعراضاً للنتائج المعروفة حول متباينات من نوع سوبوليف.
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maz'ja1984internationalestimates Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors
Journal structural engineering and mechanics
Year 1984
DOI
10.1155/S0161171284000053
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