Papers of Dr. ZEN HARPER

Versions of all my published papers and preprints are available here. My research is concerned with things like:

 

Complex Analysis, Operator Theory, Hardy Spaces, Functional Analysis, Carleson Measures,  The Reproducing Kernel Thesis, (H^1)*=BMOA, Hardy's Inequality with weights, Convolution Operators between weighted spaces,  Laplace Transforms, Paley-Wiener Theorems, ....and so on.

 

I have also linked to the original published articles, but they are mostly not freely available. MATHEMATICIANS UNITE!! Make your research freely accessible to all!!

 

APPLICATIONS OF THE DISCRETE WEISS CONJECTURE IN OPERATOR THEORY
My first paper. The published version is in:
Integral Equations and Operator Theory 54 (2006), pp.69–88.
web_zen_2006_IEOT_paper1.pdf
Adobe Acrobat Document [230.7 KB]
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CLICK HERE for the published article.

 

 

WEIGHTED NORM INEQUALITIES FOR CONVOLUTION OPERATORS AND LINKS WITH THE WEISS CONJECTURE
My second paper. The published version is in:
Journal of Evolution Equations 5, no.3 (2005), pp.387–405.
web_2005_JEE_paper1.pdf
Adobe Acrobat Document [207.2 KB]
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CLICK HERE for the published article.

 

 

TESTING SCHATTEN CLASS HANKEL OPERATORS, CARLESON EMBEDDINGS AND WEIGHTED COMPOSITION OPERATORS ON REPRODUCING KERNELS
My third paper, written jointly with DR. MARTIN P. SMITH. The original published version is in:
Journal of Operator Theory 55:2 (2006), pp.349–371
web_martin_zen_2006_JOT_paper2.pdf
Adobe Acrobat Document [240.4 KB]
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CLICK HERE for the published article.

 

 

BOUNDEDNESS OF CONVOLUTION OPERATORS AND INPUT–OUTPUT MAPS BETWEEN WEIGHTED SPACES
My fourth paper. The original published version is in:
Complex Analysis and Operator Theory 3, no.1 (2009), pp.113–146.
web_2009_CAOT_paper1.pdf
Adobe Acrobat Document [334.9 KB]
Download

CLICK HERE for the published article.

 

 

LAPLACE TRANSFORM REPRESENTATIONS AND PALEY–WIENER THEOREMS FOR FUNCTIONS ON VERTICAL STRIPS
My fifth paper!!

Documenta Mathematica 15 (2010) 235–254
web_lap2.pdf
Adobe Acrobat Document [236.9 KB]
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CLICK HERE for a link to the journal, or CLICK HERE for a link to the published paper.