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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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Paper's Title:
Examples of Fractals Satisfying the Quasihyperbolic Boundary Condition
Author(s):
Petteri Harjulehto and Riku Klén
Department of Mathematics and Statistics,
FI-20014 University of Turku,
Finland
E-mail: petteri.harjulehto@utu.fi
E-mail: riku.klen@utu.fi
Abstract:
In this paper we give explicit examples of bounded domains that satisfy the quasihyperbolic boundary condition and calculate the values for the constants. These domains are also John domains and we calculate John constants as well. The authors do not know any other paper where exact values of parameters has been estimated.
Paper's Title:
Commutator For Singular Operators On Variable Exponent Sequence Spaces And Their Corresponding Ergodic Version
Author(s):
A.M. Alphonse and S.S.S. Anupindi
Department of Mathematics,
Birla Institute of Technology And Science- Pilani,
Hyderabad Campus, Jawahar Nagar, Kapra Mandal,
District.-Medchal-500 078, Telangana,
India.
E-mail:
alphonse@hyderabad.bits-pilani.ac.in
p20180442@hyderabad.bits-pilani.ac.in
URL:
https://www.bits-pilani.ac.in/hyderabad/a-michael-alphonse
https://www.bits-pilani.ac.in/research_scholars/sri-sakti-swarup-anupindi
Abstract:
In this paper, we prove strong type inequality for maximal commutator of singular operator on weighted lp spaces. Using these results we prove strong type inequality for the maximal commutator of singular operator on variable exponent sequence spaces. Using Calderon-Coifman-Weiss transference principle we prove strong type inequality for maximal ergodic commutator of singular operator on a probability space equipped with measure preserving transformation U.
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