March 4, 2019 - March 8, 2019
Public Access Category: All |
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- Time:
- 2:00pm-3:30pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Commutative Algebra Seminars (please note that there are TWO lectures).
Speaker: Prof. Dilip P Patil.
Affiliation: IISc, Bengaluru.
Title: Hilbert-Samuel functions.
Abstract: See attached document.
Date and Time: Monday 04 March, 2:00 pm - 3:30 pm.
Venue: Room 215, Department of Mathematics.
- Time:
- 11:35am
- Location:
- Room 216, Department of Mathematics
- Description:
Analysis Seminar.
Speaker: Prof. S. Thangavelu
Affiliation: IISc, Bengaluru.
Date and Time: Tuesday 05 March, 11:35 am - 12:30 pm.
Venue: Room 216, Department of Mathematics.
Title: Lacunary Spherical maximal function on the Heisenberg group.
Abstract: We investigate the $L^p$ boundedness of the lacunary maximal
function $A_rf$ associated to the spherical means on the Heisenberg group.
By suitable adaptation of an approach of M. Lacey in the Euclidean case,
we obtain sparse bounds for these maximal functions, which lead to new
unweighted and weighted estimates. In order to prove the result, several
properties of the spherical means have to be accomplished, namely, the
$L^p$ improving property of the operator $A_rf$ and a continuity property
of the difference $A_rf-\tau_y A_rf$, where $\tau_yf(x)=f(xy^{-1})$ is the
right translation operator. This is a joint work with Hait, Bagchi and
Roncal.