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We study regularity properties of a positive measure in the euclidean space in terms of two square functions which are the multiplicative analogues of the usual martingale square function and of the Lusin area function of a harmonic function. The size of ...
González, María José, and Nicolau, Artur. "Multiplicative square functions.." Revista Matemática Iberoamericana 20.3 (2004): 673-736. <http://eudml.org/doc/39730>.
@article{González2004, abstract = {We study regularity properties of a positive measure in the euclidean space in terms of two square functions which are the multiplicative analogues of the usual martingale square function and of the Lusin area function of a harmonic function. The size of ...}, author = {González, María José, Nicolau, Artur}, journal = {Revista Matemática Iberoamericana}, keywords = {Operadores maximales; Función armónica; Medidas; Martingalas; Aplicaciones cuasiconformes; Teoría del potencial; square function; doubling measure; singular measure; law of the iterated logarithm}, language = {eng}, number = {3}, pages = {673-736}, title = {Multiplicative square functions.}, url = {http://eudml.org/doc/39730}, volume = {20}, year = {2004}, }
TY - JOUR AU - González, María José AU - Nicolau, Artur TI - Multiplicative square functions. JO - Revista Matemática Iberoamericana PY - 2004 VL - 20 IS - 3 SP - 673 EP - 736 AB - We study regularity properties of a positive measure in the euclidean space in terms of two square functions which are the multiplicative analogues of the usual martingale square function and of the Lusin area function of a harmonic function. The size of ... LA - eng KW - Operadores maximales; Función armónica; Medidas; Martingalas; Aplicaciones cuasiconformes; Teoría del potencial; square function; doubling measure; singular measure; law of the iterated logarithm UR - http://eudml.org/doc/39730 ER -