The aim of the paper is to establish a complete scale of isomorphisms for elliptic pseudodifferential boundary value problems generated by the operators of the Boutet the Monvel algebra. The result is an extension of the corresponding known results on elliptic differential boundary value problems. Because for any elliptic pseudodifferential boundary value problem there exists a parametrix belonging to the Boutet de Monvel algebra, the proof presented is much shorter than the known proof for differential problems. Systems that are elliptic in the sense of Douglis and Nirenberg are also considered.
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机译：本文的目的是为Boutet Monvel代数的算子生成的椭圆伪微分边值问题建立一个完整的同构尺度。结果是椭圆微分边值问题的相应已知结果的扩展。因为对于任何椭圆伪微分边值问题，都存在一个属于Boutet de Monvel代数的参数，所以给出的证明比关于微分问题的已知证明要短得多。还考虑了Douglis和Nirenberg的椭圆系统。
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