Title:
|
Sufficient conditions for weighted Gabushin inequalities (English) |
Author:
|
Brown, Richard C. |
Author:
|
Hinton, Don B. |
Language:
|
English |
Journal:
|
Časopis pro pěstování matematiky |
ISSN:
|
0528-2195 |
Volume:
|
111 |
Issue:
|
2 |
Year:
|
1986 |
Pages:
|
113-122 |
. |
Category:
|
math |
. |
MSC:
|
26D10 |
idZBL:
|
Zbl 0619.26013 |
idMR:
|
MR847310 |
DOI:
|
10.21136/CPM.1986.118268 |
. |
Date available:
|
2009-09-23T09:36:12Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118268 |
. |
Reference:
|
[I] R. A. Adams: Sobolev Spaces.Academic Press, New York, 1975. Zbl 0314.46030, MR 0450957 |
Reference:
|
[2] R. C. Brown D. B. Hinton: Sufficient conditions for weighted inequalities of sum form.J. Math. Anal. Appl., to appear. MR 0813620 |
Reference:
|
[3] V. N. Gabushin: Inequalities for the norms of a function and its derivatives in metric Lp.Mat. Zametki 1 (1967), 291 - 298. (English version in Mathematical Notes vol. 1, 194- 198). MR 0206700 |
Reference:
|
[4] E. Gagliardo: Proprieta di alcune classi di funzioni in piu variabili.Ricerche di Mathematica di Napoli 7 (1958), 102-137. Zbl 0089.09401, MR 0102740 |
Reference:
|
[5] E. Gagliardo: Ulteriori di alcume classi funzioni in piu variabili.Ricerche di Mathematica di Napoli 8 (1959), 23-51. MR 0109295 |
Reference:
|
[6] J. A. Goldstein M. K. Kwong A. Zettl: Weighted Landau Inequalities.J. Math. Anal. Appl. 95 (1983), 20-28. MR 0710417 |
Reference:
|
[7] D. Henry: How to remember the Sobolev inequalities, in Differential Equations.(proceedings of the 1st Latin American School of Differential Equations, Sao Paulo, Brazil, 1981). Lecture Notes in Mathematics 957, Springer, Berlin, 1982, 97- 109. MR 0679142 |
Reference:
|
[8] M. K. Kwong A. Zettl: Ramifications of Landau's inequality.Proc. Royal Soc. Edinburgh 86A (1980, 175-212. MR 0592549 |
Reference:
|
[9] M. K. Kwong A. Zettl: Weighted norm inequalities of sum form involving derivatives.Proc. Royal Soc. Edinburgh 88A (1981), 121-134. MR 0611305 |
Reference:
|
[10] M. K. Kwong A. Zettl: Norm Inequalities of product form in weighted LP spaces.Proc. Royal. Soc. Edinburgh 89A (1981), 293-307. MR 0635765 |
Reference:
|
[11] A. Kufner O. John S. Fučík: Function Spaces.Noordhoff International Publishers, Leyden, 1977. MR 0482102 |
Reference:
|
[12] A. Marshall I. Olkin: Inequalities: Theory of Majorization and Its Applications.Academic Press, New York, 1979. MR 0552278 |
Reference:
|
[13] C. Miranda: Su alcuni teoremi di inclusione.Annales Polonici Mathematici 16 (1965), 305-315. Zbl 0172.40303, MR 0187077 |
Reference:
|
[14] D. S. Mitrinovic: Analytic Inequalities.Springer, Berlin, 1970. Zbl 0199.38101, MR 0274686 |
Reference:
|
[15] L. Nirenberg: On elliptic partial differential equations.Annali del la Scuola Norm. Sup. Pisa, Ser. III 13 (1958), 115-162. MR 0109940 |
Reference:
|
[16] H. Triebel: Theory of function spaces.Monographs in Mathematics, vol. 78, Birkhauser, Basel, 1983. Zbl 0546.46028, MR 0781540 |
. |