3 results
TWO-WEIGHT NORM INEQUALITIES FOR VECTOR-VALUED OPERATORS
- Part of
-
- Journal:
- Mathematika / Volume 63 / Issue 1 / 2017
- Published online by Cambridge University Press:
- 26 July 2016, pp. 72-91
- Print publication:
- 2017
-
- Article
- Export citation
-
We study two-weight norm inequalities for a vector-valued operator from a weighted
$L^{p}(\unicode[STIX]{x1D70E})$-space to mixed norm 
$L_{l^{s}}^{q}(\unicode[STIX]{x1D707})$ spaces, 
$1<p<\infty$, 
$0<q<p$. We apply these results to the boundedness of Wolff’s potentials.
A LIMITING CASE OF ULTRASYMMETRIC SPACES
- Part of
-
- Journal:
- Mathematika / Volume 62 / Issue 3 / 2016
- Published online by Cambridge University Press:
- 01 June 2016, pp. 929-948
- Print publication:
- 2016
-
- Article
- Export citation
-
We study ultrasymmetric spaces in the case in which the fundamental function belongs to a limiting class of quasiconcave functions. In the process, we study limiting cases of
$J$ interpolation spaces and establish new 
$J$ – 
$K$ identities as well as a reiteration theorem for these limiting interpolation methods.
WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
-
- Journal:
- Journal of the London Mathematical Society / Volume 70 / Issue 2 / October 2004
- Published online by Cambridge University Press:
- 01 October 2004, pp. 499-511
- Print publication:
- October 2004
-
- Article
- Export citation
