The Hardy Space H1 with Non-doubling Measures and Their Applications

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A Thought on Generalized Morrey Spaces (2018, unknown): “metric measure spaces In addition to the genealization of p into functions, one can replace the Lebesgue measure by general Radon measures. Here we work on a metric measure space (X,d,µ). We refer to [128] for an exhaustive account of the analysis on metric measure spaces. Let k>0 and 0 <q≤ p&”
Variable Anisotropic Hardy Spaces and Their Applications (2017, background): “Due to the celebrated work [11–13] of Calderón and Torchinsky on parabolic Hardy spaces, there has been an increasing interest in extending classical function spaces from Euclidean spaces to some more general underlying spaces; see, for example, [28, 31, 32, 58, 59, 61, 65, 76].”
GENERALIZED FRACTIONAL INTEGRALS AND THEIR COMMUTATORS OVER NON-HOMOGENEOUS METRIC MEASURE SPACES (2013, background): “More progresses on the Hardy space H1 and boundedness of operators on non-homogeneous metric measure spaces can be found in the survey [43] and the monograph [44].”
Anisotropic Variable Hardy-Lorentz Spaces and Their Real Interpolation (2017, background): “Moreover, after the celebrated articles [14, 15, 16] of Calderón and Torchinsky on parabolic Hardy spaces, there has been an enormous interest in extending classical function spaces arising in harmonic analysis from Euclidean spaces to some more general underlying spaces; see, for example, [28, 36, ”