Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We classify weights which map reverse Hölder weight spaces to other reverse Hölder weight spaces under pointwise multiplication. We also give some fairly general examples of weights satisfying weak reverse Hölder conditions.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
23-39
Opis fizyczny
Daty
wydano
1994
otrzymano
1992-10-23
poprawiono
1992-11-20
Twórcy
autor
- Department of Mathematics, St. Patrick's College Maynooth, Co. Kildare, Ireland
Bibliografia
- [B-I] B. Bojarski and T. Iwaniec, Analytical foundations of the theory of quasiconformal mappings in $ℝ^n$, Ann. Acad. Sci. Fenn. Ser. A I Math. 8 (1984), 257-324.
- [C-F] R. Coifman and C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals, Studia Math. 51 (1974), 241-250.
- [G-R] J. García-Cuerva and J. Rubio de Francia, Weighted Norm Inequalities and Related Topics, North-Holland Math. Stud. 116, North-Holland, Amsterdam, 1985.
- [G] F. Gehring, The $L^p$ integrability of the partial derivatives of a quasiconformal mapping, Acta Math. 130 (1973), 265-277.
- [I-N] T. Iwaniec and C. Nolder, Hardy-Littlewood inequality for quasiregular mappings in certain domains in ℝ, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 267-282.
- [J-N] R. Johnson and C. Neugebauer, Homeomorphisms preserving $A_p$, Rev. Mat. Iberoamericana 3 (1987), 249-273.
- [Mo] J. Moser, On Harnack's theorem for elliptic differential equations, Comm. Pure Appl. Math. 14 (1961), 577-591.
- [Mu] B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226.
- [Sa] E. Sawyer, Norm inequalities relating singular integrals and the maximal function, Studia Math. 75 (1983), 253-263.
- [Sta] S. Staples, Maximal functions, $A_∞$-measures, and quasiconformal maps, Proc. Amer. Math. Soc. 113 (1991), 689-700.
- [Ste] E. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970.
- [Str] E. Stredulinsky, Weighted Inequalities and Degenerate Elliptic Partial Differential Equations, Springer, 1984.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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