Abstract
The present manuscript gives analytic characterizations and interesting technique that involves the study of general ϖ -Besov classes of analytic functions by the help of analytic ϖ -Bloch functions. Certain special functions significant in both ϖ -Besov-norms and ϖ -Bloch norms framework and to introduce new important families of analytic classes. Interesting motivation of this concerned paper is to construct some new analytic function classes of general ϖ -Besov-type spaces via integrals on concerned functions view points. The introduced analytic ϖ -Bloch and ϖ -Besov type of functions with some interesting properties for these classes of function spaces are established within the constructions of their norms. Using the defined analytic function spaces, various important relations are also derived.
Highlights
Operator theory and special classes of holomorphic function spaces have interesting significant roles in different branches of pure and applied mathematics as well as in recent studies of theoretical physics
Besov and Bloch-type classes are the focus of such studies. ese types of spaces are extremely applied in computational mathematical analysis and theoretical physics problems
These special function classes allow the derivation of different useful identities in a fairly straightforward way and help in introducing new families of function classes. roughout this concerned paper, the following notations and definitions will be used
Summary
Operator theory and special classes of holomorphic function spaces have interesting significant roles in different branches of pure and applied mathematics as well as in recent studies of theoretical physics. Ese types of spaces are extremely applied in computational mathematical analysis and theoretical physics problems These special function classes allow the derivation of different useful identities in a fairly straightforward way and help in introducing new families of function classes. E concerned function h ∈ H(D) is said to belong to the weighted π-Bloch-type space. For a bounded nondecreasing continuous function h in D is said to belong to the π-Besov space function π: D ⟶ (0, ∞), let 0 < p < ∞, and an analytic Bp,π(g), when. D h belongs to the Besov space Bp. e aim of the current paper is to establish with concerned proofs various results on analytic-type function spaces with the help of holomorphic Bπ-function type classes in some holomorphic concerned general Besov functions satisfying more extended general integral norm conditions portrayed by some general weights in the known concerned complex disk. There are some extensions by the use of hypercomplex functions (see [11,12,13,14,15]) and others
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