The envelopes of functions play essential role in pluripotential theory. In particular, they are used in Perron-Bremermann method to solve the Dirichlet problem: find a homogeneous solution of the Monge-Ampere operator with continuous boundary data. So it is important to classify those domains where the solution is also continuous. To characterize domains where continuous functions have continuous envelopes we use the notion of Jensen measures. These measures recently attracted the attention of quite a number of mathematicians. It should be noted that different classes of plurisubharmonic functions generate different Jensen measures. We treat these classes of Jensen measures as multifunctions. As it happens the continuity of envelopes is a consequence of such geometric properties of these multifunctions as upper and lower semicontinuity. This work will be of interest for people who work on complex analysis of several variables, especially on pluripotential theory.
We treat these classes of Jensen measures as multifunctions
Tam metin
Benzer Belgeler
Şu J kadar var ki onlar temel şahsiyetin mutlaka bir kültür çevresi içinde, çı na mahsus vasıflara goıe teşekkül edeceğini tecrübî olarak görmüş
骨粉產品介紹 （以下資料由廠商提供、編輯部整理；詳細資料請洽各廠商） 產 品 外 觀 博納骨 人工骨 替代物 「和康」富瑞密骨骼 填補顆粒
Upon IRF3 phosphorylation, Type I IFN genes are up-regulated and innate immune cells such as macrophages, dendritic cells and monocytes abundantly secrete
malın rakabesi (mülki aynı, çıplak mül kiyeli) vakfedene ait olur. Bu gibi va kıflara İrşat, tahsis kabilinden vakıf de" nir k i , vakıf hukukundaki ıstılahı
The results reported in Table 2 strongly confirm the prediction that in the presence of good governance, revenue decentralization helps to make income distribution more equal and
Ankilozan spondilitli hastalarda TNF-α blokeri ile tedavi sonrası ortalama ESH (p=0,018) ve CRP (p=0,039) düzeyleri tedavi öncesine göre anlamlı olarak düşük saptandı..
Convolutional codes, which are one of the oldest and most widely used error correction codes, have the advantage over recently discovered turbo codes and low-density parity- check
Sonuç olarak, her iki karışımında tork ve güç değerlerinin SDY’dan düşük olduğunu, özellikle 2500 d/d motor hızına kadar BD karışımı ile SDY’dan
