Scientific Research Publishing

Izuki, M. (2009) Herz and Amalgam Spaces with Variable Exponent, the Haar Wavelets and Greediness of the Wavelet System. East Journal on Approximations, 15, 87-109.

ABSTRACT: In this paper, we study the boundedness of the fractional integral with variable kernel. Under some assumptions, we prove that such kind of operators is bounded from the variable exponent ...
Scientific Research Publishing

Izuki, M. (2009) Herz and Amalgam Spaces with Variable Exponent, the Haar Wavelets and Greediness of the Wavelet System. East Journal on Approximations, 15, 87-109.

ABSTRACT: In this paper, we study the boundedness of the fractional integral operator and their commutator on Herz spaecs with two variable exponents . By using the properties of the variable ...
JSTOR Daily

Kuelbs-Steadman Spaces with Bounded Variable Exponents

Kuelbs-Steadman spaces are studied within the framework of Henstock-Kurzweil integrable function spaces with bounded variable exponent. We describe a relationship between the Lebesgue spaces with ...
IEEE

Gradient Estimates of ω-Minimizers to Double Phase Variational Problems with Variable Exponents

Abstract: We are concerned with an optimal regularity for ω-minimizers to double phase variational problems with variable exponents where the associated energy density is allowed to be discontinuous.