In this paper, we firstly introduce an-operator related with FIF. Then, we get an efficient method by this operator to solve the inverse problem of FIF and the inverse problem of piecewise FIF.
We consider the spaces A_H^(pα) with 0<p<∞ and a>-1 which consists of harmonic functions f defined on upper half spaces R_+^(n+1) and satisfying where X=(X,x)∈R_+^(n+1), X=(x_1,…,x_n)∈R^n, x>0 and dV(...We consider the spaces A_H^(pα) with 0<p<∞ and a>-1 which consists of harmonic functions f defined on upper half spaces R_+^(n+1) and satisfying where X=(X,x)∈R_+^(n+1), X=(x_1,…,x_n)∈R^n, x>0 and dV(X) is the volume element. We investigate the possibility of interpolation of values by functions in A_H^(pα) and obtain some sufficient conditions.展开更多
文摘In this paper, we firstly introduce an-operator related with FIF. Then, we get an efficient method by this operator to solve the inverse problem of FIF and the inverse problem of piecewise FIF.
文摘We consider the spaces A_H^(pα) with 0<p<∞ and a>-1 which consists of harmonic functions f defined on upper half spaces R_+^(n+1) and satisfying where X=(X,x)∈R_+^(n+1), X=(x_1,…,x_n)∈R^n, x>0 and dV(X) is the volume element. We investigate the possibility of interpolation of values by functions in A_H^(pα) and obtain some sufficient conditions.
