On Maximal Operators Associated to Bases of Some Convex Sets

Alexander M. Stokolos

On Maximal Operators Associated to Bases of Some Convex Sets

Alexander M. Stokolos

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

It will be shown that a differentiation basis associated to a dilation and translation invariant basis of some multidimensional convex sets if differentiate integral of any functioin from L^∞ must differentiate integral of any function from L^p with some p<∞. A quantitative version of the statement along with the relation to the Nagel-Stein-Wainger, Cordoba-Fefferman and Bateman theorems will be discussed. This is a joint result with Paul Hagelstein.

Original language	American English
State	Published - Feb 5 2013
Event	University of Wisconsin Analysis Seminar - Madison, WI Duration: Feb 5 2013 → …

Conference

Conference	University of Wisconsin Analysis Seminar
Period	02/5/13 → …

Disciplines

Mathematics

Keywords

Bases
Convex sets
Maximal operators

Cite this

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title = "On Maximal Operators Associated to Bases of Some Convex Sets",

abstract = " It will be shown that a differentiation basis associated to a dilation and translation invariant basis of some multidimensional convex sets if differentiate integral of any functioin from L\textasciicircum{}∞ must differentiate integral of any function from L\textasciicircum{}p with some p<∞. A quantitative version of the statement along with the relation to the Nagel-Stein-Wainger, Cordoba-Fefferman and Bateman theorems will be discussed. This is a joint result with Paul Hagelstein.",

keywords = "Bases, Convex sets, Maximal operators",

author = "Stokolos, \{Alexander M.\}",

year = "2013",

month = feb,

day = "5",

language = "American English",

note = "University of Wisconsin Analysis Seminar ; Conference date: 05-02-2013",

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TY - CONF

T1 - On Maximal Operators Associated to Bases of Some Convex Sets

AU - Stokolos, Alexander M.

PY - 2013/2/5

Y1 - 2013/2/5

N2 - It will be shown that a differentiation basis associated to a dilation and translation invariant basis of some multidimensional convex sets if differentiate integral of any functioin from L^∞ must differentiate integral of any function from L^p with some p<∞. A quantitative version of the statement along with the relation to the Nagel-Stein-Wainger, Cordoba-Fefferman and Bateman theorems will be discussed. This is a joint result with Paul Hagelstein.

AB - It will be shown that a differentiation basis associated to a dilation and translation invariant basis of some multidimensional convex sets if differentiate integral of any functioin from L^∞ must differentiate integral of any function from L^p with some p<∞. A quantitative version of the statement along with the relation to the Nagel-Stein-Wainger, Cordoba-Fefferman and Bateman theorems will be discussed. This is a joint result with Paul Hagelstein.

KW - Bases

KW - Convex sets

KW - Maximal operators

UR - https://people.math.wisc.edu/~aseeger/abs12-13/stokolos

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/469/

M3 - Presentation

T2 - University of Wisconsin Analysis Seminar

Y2 - 5 February 2013

ER -

On Maximal Operators Associated to Bases of Some Convex Sets

Abstract

Conference

Disciplines

Keywords

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