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The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most
Convergence and Summability of Fourier Transforms and Hardy Spaces
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This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces.
Morrey Spaces
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Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The tec
Lebesgue Points and Summability of Higher Dimensional Fourier Series
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This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro sum
Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory
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This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 1995�