3 papers
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…
math.FA2008
On Integral Operators with Operator Valued Kernels
Rishad Shahmurov
Here Lq-Lp boundedness of integral operator with operator-valued kernels is studied and the main result is applied to convolution operators. Using these results Besov space regular…
math.FA2008
Operator-Valued Fourier Multipliers
Rishad Shahmurov
This paper is withdrawn due to some gaps in the proof