References
- Chen X, Sun L. Well-posedness of the Euler equation in Triebel-Lizorkin-Morrey spaces. Appl Anal. 2020;99(5):772–795.
- Diening L, Harjulehto P, Hästö P, et al. Lebesgue and Sobolev spaces with variable exponents. Heidelberg: Springer; 2011. (Lecture Notes in Mathematics. 2017).
- Ragusa MA, Tachikawa A. On interior regularity of minimizers of p(x)-energy functionals. Nonlinear Anal Theory Methods Appl. 2013;93:162–167.
- Ružička M. Electrorheological fluids: modeling and mathematical theory. Berlin: Springer; 2000. (Lecture Notes in Math. 1748).
- Zhikov VV. Averaging of functionals of the calculus of variations and elasticity theory. Izv Math. 1987;29(1):33–66.
- Diening L, Hastö P, Nekvinda A. Open problems in variable exponent Lebesgue and Sobolev spaces. In: Function Spaces, Differential Operators and Nonlinear Analysis, Proc. Conference held in Milovy, Bohemian-Moravian Uplands, 2004 May 28–June 2, Praha: Mathematical Institute, Academy of Sciences of the Czech Republic.
- Samko S. On a progress in the theory of Lebesgue spaces with variable exponent: maximal and singular operators. Integral Transforms Spec Funct. 2005;16(5–6):461–482.
- Ephremidze L, Kokilashvili V, Samko S. Fractional, maximal and singular operators in variable exponent Lorentz spaces. Fract Calc Appl Anal. 2008;11(4):407–420.
- Morrey CB. On the solutions of quasi-linear elliptic partial differential equations. Trans Amer Math Soc. 1938;43:126–166.
- Olsen PA. Fractional integration, Morrey spaces and a Schrödinger equation. Comm Partial Differential Equations. 1995;20:2005–2055.
- Ragusa MA. Regularity for weak solutions to the Dirichlet problem in Morrey space. Riv Mat Univ Parma. 1994;5(3):355–369.
- Mingione G. Gradient estimates below the duality exponent. Math Ann. 2010;346(3):571–627.
- Nakai E. Orlicz-Morrey spaces and Hardy–Littlewood maximal function. Studia Math. 2008;188:193–221.
- Almeida A, Hasanov JJ, Samko SG. Maximal and potential operators in variable exponent Morrey spaces. Georgian Math J. 2008;15(2):1–15.
- Guliyev VS, Hasanov JJ, Samko S. Boundedness of maximal, potential type and singular integral operators in the generalized variable exponent Morrey type spaces. J Math Sci (NY). 2010;170:423–443.
- Guliyev VS, Hasanov JJ, Samko S. Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces. Math Scand. 2010;107:285–304.
- Zhang J, Zheng S. Weighted Lorentz and Lorentz-Morrey estimates to viscosity solutions of fully nonlinear elliptic equations. Complex Var Elliptic Equ. 2017;63(9):1271–1289.
- Hatano N. Fractional operators on Morrey–Lorentz spaces and the Olsen inequality. Math Notes. 2020;107(1–2):63–79.
- Ho KP. Fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces. J Math Inequal. 2021;15(1):17–30.
- Ragusa MA. Embeddings for Morrey–Lorentz spaces. J Optim Theory Appl. 2012;154(2):491–499.
- Aykol C, Guliyev VS, Serbetci A. Boundedness of the maximal operator in the local Morrey–Lorentz spaces. J Inequal Appl. 2013;346:11.
- Aykol C, Guliyev VS, Kucukaslan A, et al. The boundedness of Hilbert transform in the local Morrey–Lorentz spaces. Integral Transforms Spec Funct. 2016;27(4):318–330.
- Guliyev VS, Aykol C, Kucukaslan A, et al. Maximal operator and Calderón–Zygmund operators in local Morrey–Lorentz spaces. Integral Transforms Spec Funct. 2016;27(11):866–877.
- Guliyev VS, Kucukaslan A, Aykol C, et al. Riesz potential in the local Morrey–Lorentz spaces and some applications. Georgian Math J. 2020;27(4):557–567.
- Mizuta Y, Ohno T. Sobolev's inequality for Riesz potentials in central Lorentz-Morrey spaces of variable exponent. (English summary) Potential theory and its related fields. RIMS Kokyuroku Bessatsu 2013;B43:101–120.
- Coifman R, Meyer Y. Au-delà des opérateurs pseudo-différentiels. Astérisque. 1979;57:210.
- Dyn'kin EM. Methods of singular integrals: Hilbert transform and Calderon–Zygmund theory. Commut Harmonic Anal. 1991;15:167–259.
- Bennett C, Rudnik K. On Lorentz-Zygmund spaces. Dissertationes Math (Rozprawy Mat). 1980;175:67.
- Edmunds DE, Lang J, Nekvinda A. On Lp(x) norms. R Soc Lond Proc Ser A Math Phys Eng Sci. 1999;455(1981):219–225.
- Lukkassen D, Persson L-E, Samko S, et al. Weighted Hardy-type inequalities in variable exponent Morrey-type spaces. J Funct Spaces Appl. 2013, 11 pp., Art. ID 716029.
- Bennett C, Sharpley R. Interpolation of operators. Boston (MA): Academic Press, Inc.; 1988. (Pure and Applied Mathematics. 129).
- Kempka H, Vybiral J. Lorentz spaces with variable exponents. Math Nachr. 2014;287(8–9):938–954.
- Kokilashvili V, Samko SG. Singular integrals and potentials in some Banach spaces with variable exponent. J Funct Spaces Appl. 2003;1(1):45–59.
- Liu LZ, Lu SZ. Weighted weak type inequalities for maximal commutators of Bochner-Riesz operator. Hokkaido Math J. 2003;32(1):85–99.
- Liu Y, Chen D. The boundedness of maximal Bochner-Riesz operator and maximal commutator on Morrey type spaces. Anal Theory Appl. 2008;24(4):321–329.
- Shi X, Sun Q. Weighted norm inequalities for Bochner-Riesz operators and singular integral operators. Proc Amer Math Soc. 1992;116(3):665–673.
- Stein EM. Singular integrals and differentiability properties of functions. Princeton (NJ): Princeton University Press; 1971. (Princeton Math. Ser.; vol. 30).
- Stein EM. On the functions of Littlewood-Paley, Lusin, and Marcinkiewicz. Trans Amer Math Soc. 1958;88:430–466.
- Lu S, Ding Y, Yan D. Singular integrals and related topics. Hackensack (NJ): World Scientific Publishing; 2007.