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math.AP2009
Linear and nonlinear convolution operator equations on the infinite strip
Rishad Shahmurov
In the present paper we characterize the existence and uniqueness of maximal Lp-regular solutions of high order convolution operator equations. Particularly, we get coercive unifor…
math.AP2009
Lp regularity for convolution operator equations in Banach spaces
Rishad Shahmurov
Here we utilize operator--valued Lq-Lp Fourier multiplier theorems to establish lower bound estimates for large class of elliptic integro-differential equations in Rd. Moreover, we…