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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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Compact imbedding for weight space

We begin with some definitions. Let $\gamma \geqslant 1,\,p \in \left[ {1,\infty } \right)$, we define $$L_\gamma ^p\left( {0,1} \right) = \left\{ {v:\left( {0,1} \right) \to \mathbb{R}:{{\left\| v \ …