Spaces Lp and Convolutions
Before discussing an important special class of measurable functions we prove a fundamental inequality, known as Hölder’s inequality. There are two variants, one for sums and one for integrals. The original variant for integrals of continuous functions or Riemann integrable functions was extended to measurable functions without additional difficulties.
KeywordsLebesgue Measure Step Function Differentiable Function Triangle Inequality Cauchy Sequence
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