Muckenhoupt conditions for piecewise-power weights in Euclidean space with Dunkl measure

1. Grafacos L., 2008, “Classical Fourier Analysis”, Graduate Texts in Mathematics 249. New York: Springer, 489 p.

2. Grafacos L., “Modern Fourier Analysis”, Graduate Texts in Mathematics 250. New York: Springer, 504 p.

3. Muckenhoupt B., 1972, “Weighted norm inequalities for the Hardy maximal function”, Trans. Amer. Math. Soc., vol. 165, pp. 207–226.

4. Muckenhoupt B., Wheeden R. L., 1974, “Weighted norm inequalities for fractional integrals”, Trans. Amer. Math. Soc., vol. 192, pp. 261–274.

5. Hardy G. H., Littelwood J. E., 1928, “Some properties of fractional integrals, I”, Math. Zeit., vol. 27, pp. 565–606.

6. Soboleff S., 1963, “Sur un th’eor’eme d’analyse fonctionnelle”, Amer. Math. Soc. Transl., № 2(34), pp.39–68.

7. Rösler M., 2003, “Dunkl operators. Theory and applications, in Orthogonal Polynomials and Special Functions”, Lecture Notes in Math. Springer-Verlag, vol. 1817, pp. 93–135.

8. Thangavelu S., Xu Y., 2007, “Riesz transform and Riesz potentials for Dunkl transform”, J. Comput. Appl. Math., vol. 199, pp. 181–195.

9. Gorbachev D. V., Ivanov V. I., Tikhonov S.Yu., 2019, “Positive Lp-bounded Dunkl-Type Generalized Translation Operator and Its Applications”, Constructive approximation, vol. 49. No. 3. pp. 555-605.

10. Gorbachev D. V., Ivanov V. I., Tikhonov S.Yu., 2018, “Riesz potential and maximal function for Dunkl transform”, Preprint CRM, Barcelona, № 1238, pp. 1–28.

11. Gorbachev D. V., Ivanov V. I., 2019, “Weighted inequalities for Dunkl–Riesz potential”, Chebyshevskii Sbornik, vol. 20, № 1, pp. 131–147. (In Russian)

12. Stein E. M., 1993, “Harmonic analysis: Reals-variable methods, orthogonality and oscillatory integrals”, Princeton, New Jersey: Princeton University Press, 716 p.

13. Dai F., 2006, “Multivariate polynomial inequalities with respect to doubling weights and A∞ weights”, J. Funct. Anal., vol. 235, pp. 137–170.