Intrinsic square functions and commutators on Morrey‐Herz spaces with variable exponents

Abstract

In this article, we will study the boundedness of intrinsic square functions on the Morrey-Herz spacesThe boundedness of commutators generated by BMO functions and intrinsic square functions is also discussed on the aforementioned Morrey-Herz spaces.

Weighted Norm Estimates for Commutators of Several Square Functions

“…In 2015, Wang [21] further discussed the boundedness of these square functions on weighted Herz-Hardy spaces. More conclusions of square functions are referred to [1,2,4,11,15,19,24]. Motivated by Wang [21] and Lu [9], it is a natural problem to ask whether commutators of these square functions are bounded from weighted Herz-type Hardy spaces to Herz spaces?…”

Mittag-Leffler function for real index and its application in solving difference and differential equations

“…We have different structures of fractional differential equations (FDEs) containing various special functions in their kernels which have main importance in analyzing mathematical models. For instances, the application of these kernels can be seen in some works including [1][2][3]5,10,18,21,22]. In addition to these papers, the Mittag-Leffler function is used as the kernel of some new operators [6,8,11].…”

Singular Anisotropic Problems with Competition Phenomena

“…Finally we mention also the recent works on some other classes of anisotropic singular problems of Papageorgiou-Winkert [13,15] and Papageorgiou-Zhang [16,17]; for problems in divergence form, some recent results are given in Abdalmonem-Scapellato [1], Ragusa [20] and Wei [23] for parabolic equations.…”