Zobrazeno 1 - 10
of 25
pro vyhledávání: '"H. P. Heinig"'
Publikováno v:
Journal of Inequalities and Applications, Vol 1, Iss 2, Pp 183-197 (1997)
Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalit
Externí odkaz:
https://doaj.org/article/c64efc4fcb4e4eb78738e7ca7d2312dc
Autor:
H. P. Heinig, M. Smith
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 9, Iss 1, Pp 185-192 (1986)
In this paper a number of generalizations of the classical Heisenberg-Weyl uncertainty inequality are given. We prove the n-dimensional Hirschman entropy inequality (Theorem 2.1) from the optimal form of the Hausdorff-Young theorem and deduce a highe
Externí odkaz:
https://doaj.org/article/cf816d7153174ff991e28005950ab517
Autor:
H. P. Heinig
Publikováno v:
International Journal of Contemporary Mathematical Sciences. 2:721-736
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::542fdfc4be9f0e6f945581812268b749
https://doi.org/10.12988/ijcms.2007.07071
https://doi.org/10.12988/ijcms.2007.07071
Publikováno v:
gmj. 8:69-86
Necessary and sufficient conditions on weight pairs are found for the validity of a class of weighted exponential inequalities involving certain classical operators. Among the operators considered are the Hardy averaging operator and its variants in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02677368c064827e7af9b51af4a32fc9
https://doi.org/10.1515/gmj.2001.69
https://doi.org/10.1515/gmj.2001.69
Publikováno v:
Canadian Journal of Mathematics. 48:959-979
characterization of the spaces dual to weighted Lorentz spaces are given by means of reverse Hölder inequalities (Theorems 2.1, 2.2). This principle of duality is then applied to characterize weight functions for which the identity operator, the Har
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0709d4741b513c4ea767b84838eca9b9
https://doi.org/10.4153/cjm-1996-050-3
https://doi.org/10.4153/cjm-1996-050-3
Autor:
H. P. Heinig, A. Kufner
Publikováno v:
Journal of the London Mathematical Society. 53:256-270
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ce4dfe89ea7742005811cdce4c0d281
https://doi.org/10.1112/jlms/53.2.256
https://doi.org/10.1112/jlms/53.2.256
Autor:
H. P. Heinig, Vladimir D. Stepanov
Publikováno v:
Canadian Journal of Mathematics. 45:104-116
The purpose of this paper is to characterize the weight functions for which the Hardy operator , with non-decreasing function ƒ, is bounded between various weighted Lp-spaces for a wide range of indices. Our characterizations complement for the most
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe66907a8f8ad53760006dd714f6ce5e
https://doi.org/10.4153/cjm-1993-006-3
https://doi.org/10.4153/cjm-1993-006-3
Autor:
K. F. Andersen, H. P. Heinig
Publikováno v:
SIAM Journal on Mathematical Analysis. 14:834-844
Conditions on the nonnegative weight functions $u(x)$ and $v(x)$ are given which ensure that an inequality of the form $(\int {| {(Tf)(x)u(x)} |^q dx} )^{{1 /q}} \leq C(\int {| {f(x)v(x)} |^p dx} )^{{1 /p}} $ holds where T is an integral operator of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8936a95ebe9a46b16bce8887186c2783
https://doi.org/10.1137/0514064
https://doi.org/10.1137/0514064
Autor:
H. P. Heinig
Publikováno v:
Canadian Mathematical Bulletin. 19:445-453
C. Feffermann and E. M. Stein [2] have shown that the continuity property of the Hardy-Littlewood maximal functions between Lp-spaces, 1 < p < ∞, extends to ℓr-valued functions on ℝn. Specifically, if f = (f1, f2,…) is a sequence of functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9dd1888c84c3df156d5ab1bdb8aadea5
https://doi.org/10.4153/cmb-1976-067-3
https://doi.org/10.4153/cmb-1976-067-3
Autor:
H. P. Heinig
Publikováno v:
Proceedings of the American Mathematical Society. 95:387-395
Conditions on nonnegative weight functions u ( x ) u(x) and υ ( x ) \upsilon (x) are given which ensure that an inequality of the form ( ∫ | T f ( x ) | q u ( x ) d x ) 1 / q ⩽ C ( ∫ | f ( x ) | p υ ( x ) d x ) 1 / p {(\smallint {\left | {Tf(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f8175ca80c763303a25e0656d0afe2c
https://doi.org/10.1090/s0002-9939-1985-0806076-3
https://doi.org/10.1090/s0002-9939-1985-0806076-3