Our online classes are regular Michigan Tech classes available to anyone qualified to take classes at Tech, anywhere in the world. Students earn course credit, the same as any on-campus class.

Banach spaces, as complete normed vector spaces, provide a fundamental setting in modern analysis, allowing for a rigorous treatment of convergence and stability in infinite dimensions. Integrability ...

The classical Fourier multiplier theorems of Marcinkiewicz and Mikhlin are extended to vector-valued functions and operator-valued multiplier functions on $ℤ^{d}\ \text{or}\ ℝ^{d}$ which satisfy ...

This is a preview. Log in through your library . Abstract With respect to a partial ordering $\ll$, the functional inequality $F(s) + tG(s) \ll F(s + t)$ arises ...