Abstract
In this chapter, we first recall some basic covering lemmas and notions of doubling cubes, using these we further establish the Lebesgue differentiation theorem and the Calderón–Zygmund decomposition.
Keywords
- Double Cube
- Lebesgue Differentiation Theorem
- Polynomial Growth Condition
- Besicovitch
- Nonnegative Radon Measure
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Yang, D., Yang, D., Hu, G. (2013). Preliminaries. In: The Hardy Space H1 with Non-doubling Measures and Their Applications. Lecture Notes in Mathematics, vol 2084. Springer, Cham. https://doi.org/10.1007/978-3-319-00825-7_1
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DOI: https://doi.org/10.1007/978-3-319-00825-7_1
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