In 1934, G. H. Hardy and J. E. Littlewood calculated [Proc. London Math. Soc. (2) 36 (1934), pp. 516–531] the optimal Cesàro exponent for Hardy spaces. In this paper we calculate it for mixed norm spaces, hence including the Bergman spaces in particular. The main technical challenge lies in the analysis of the example needed for the critical case. [ABSTRACT FROM AUTHOR]
In this paper, we are concerned with the boundedness of the Hardy-Littlewood maximal operator on the Orlicz space Lp(·)(log L)q(·)(X) of two variable exponents over unbounded quasi-metric measure spaces, as an extension of [Math Scand. 116 (2015), pp. 5–22]. The result is new even for the variable exponent Lebesgue space Lp(·)(X) in that the underlying spaces need not be bounded and that the underlying measure need not be doubling. [ABSTRACT FROM AUTHOR]
In this paper, we correct some errors that appeared in ''The Łojasiewicz exponent of a continuous subanalytic function at an isolated zero'', Proc. Amer. Math. Soc. 139 (2011), no. 1, 1-9. [ABSTRACT FROM AUTHOR]