ABSTRACT:
In this paper, we studied differential and anti-differential
operators acting on weighted Hardy spaces H2(β), where β = βn de-
notes sequence of positive real numbers with β0 = 1. We first establish
the boundedness of the differential operator ( D )and anti-differential
operator (Da) on H2
β . Further, we characterized the condition under
which differential(D) and anti-differential operator (Da) on H2(β) be-
come hermitian and normal .
Cite this article:
SUNIL KUMAR SHARMA, ROHIT GANDHI. BOUNDED, HERMITIAN AND NORMAL DIFFERENTIAL AND ANTI DIFFERENTIAL OPERATORS ON H2(β). Proceeding of ICAMAS-2025.159-165
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NSCBM GOVERNMENT COLLEGE HAMIRPUR, HIMACHAL PRADESH, INDIA
Email address: [sunilshrm167@gmail.com]
GOVT. DEGREE COLLEGE, INDORA, DISTRICT KANGRA, HIMACHAL PRADESH, INDIA
Email address: [rohitg.gov@gmail.com]